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Equivariant prime ideals for infinite dimensional supergroups Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Robert Laudone, Andrew Snowden
Let A A be a commutative algebra equipped with an action of a group G G . The so-called G G -primes of A A are the equivariant analogs of prime ideals, and of central importance in equivariant commutative algebra. When G G is an infinite dimensional group, these ideals can be very subtle: for instance, distinct G G -primes can have the same radical. In previous work, the second author showed that if
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Commensurated hyperbolic subgroups Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Nir Lazarovich, Alex Margolis, Mahan Mj
We show that if H H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G G , then H H is virtually a free product of hyperbolic surface groups and free groups. We prove that whenever a one-ended hyperbolic group H H is a fiber of a non-trivial hyperbolic bundle then H H virtually splits over a 2-ended subgroup.
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Solving the Kerzman’s problem on the sup-norm estimate for \overline{∂} on product domains Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Song-Ying Li
In this paper, the author solves the long term open problem of Kerzman on sup-norm estimate for Cauchy-Riemann equation on polydisc in n n -dimensional complex space. The problem has been open since 1971. He also extends and solves the problem on product domains Ω n \Omega ^n , where Ω \Omega is any bounded domain in C \mathbb {C} with C 1 , α C^{1,\alpha } boundary for some α > 0 \alpha >0 .
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Soap bubbles and convex cones: optimal quantitative rigidity Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Giorgio Poggesi
We consider a class of recent rigidity results in a convex cone Σ ⊆ R N \Sigma \subseteq \mathbb {R}^N . These include overdetermined Serrin-type problems for a mixed boundary value problem relative to Σ \Sigma , Alexandrov’s soap bubble-type results relative to Σ \Sigma , and Heintze-Karcher’s inequality relative to Σ \Sigma . Each rigidity result is obtained here by means of a single integral identity
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A compact extension of Journé’s 𝑇1 theorem on product spaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Mingming Cao, Kôzô Yabuta, Dachun Yang
We prove a compact version of the T 1 T1 theorem for bi-parameter singular integrals. That is, if a bi-parameter singular integral operator T T admits the compact full and partial kernel representations, and satisfies the weak compactness property, the diagonal C M O CMO condition, and the product C M O CMO condition, then T T can be extended to a compact operator on L p ( w ) L^p(w) for all 1 > p
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Endomorphisms of mapping tori Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-05-11 Christoforos Neofytidis
We classify in terms of Hopf-type properties mapping tori of residually finite Poincaré Duality groups with non-zero Euler characteristic. This generalises and gives a new proof of the analogous classification for fibered 3-manifolds. Various applications are given. In particular, we deduce that rigidity results for Gromov hyperbolic groups hold for the above mapping tori with trivial center.
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Cohomology rings of extended powers and of free infinite loop spaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-24 Lorenzo Guerra, Paolo Salvatore, Dev Sinha
We calculate mod- p p cohomology of extended powers, and their group completions which are free infinite loop spaces. We consider the cohomology of all extended powers of a space together and identify a Hopf ring structure with divided powers within which cup product structure is more readily computable than on its own. We build on our previous calculations of cohomology of symmetric groups, which
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Separating path systems of almost linear size Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-24 Shoham Letzter
A separating path system for a graph G G is a collection P \mathcal {P} of paths in G G such that for every two edges e e and f f , there is a path in P \mathcal {P} that contains e e but not f f . We show that every n n -vertex graph has a separating path system of size O ( n log ∗ n ) O(n \log ^* n) . This improves upon the previous best upper bound of O ( n log n ) O(n \log n) , and makes progress
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Optimal convex domains for the first curl eigenvalue in dimension three Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-24 Alberto Enciso, Wadim Gerner, Daniel Peralta-Salas
We prove that there exists a bounded convex domain Ω ⊂ R 3 \Omega \subset \mathbb {R}^3 of fixed volume that minimizes the first positive curl eigenvalue among all other bounded convex domains of the same volume. We show that this optimal domain cannot be analytic, and that it cannot be stably convex if it is sufficiently smooth (e.g., of class C 1 , 1 C^{1,1} ). Existence results for uniformly Hölder
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Cuntz algebra automorphisms: Graphs and stability of permutations Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Francesco Brenti, Roberto Conti, Gleb Nenashev
We characterize the permutative automorphisms of the Cuntz algebra O n \mathcal {O}_n (namely, stable permutations) in terms of two sequences of graphs that we associate to any permutation of a discrete hypercube [ n ] t [n]^t . As applications we show that in the limit of large t t (resp. n n ) almost all permutations are not stable, thus proving Conj. 12.5 of Brenti and Conti [Adv. Math. 381 (2021)
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Projective dimensions of hyperplane arrangements Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Takuro Abe
We establish a general theory for projective dimensions of the logarithmic derivation modules of hyperplane arrangements. This includes an addition-deletion and a restriction theorem, a Yoshinaga type result, and a division theorem for projective dimensions of hyperplane arrangements. These new theorems are all generalizations of classical results for free arrangements, which is the special case of
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Polynomial decay of correlations for nonpositively curved surfaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Yuri Lima, Carlos Matheus, Ian Melbourne
We prove polynomial decay of correlations for geodesic flows on a class of nonpositively curved surfaces where zero curvature only occurs along one closed geodesic. We also prove that various statistical limit laws, including the central limit theorem, are satisfied by this class of geodesic flows.
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The Witt rings of many flag varieties are exterior algebras Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Tobias Hemmert, Marcus Zibrowius
The Witt ring of a complex flag variety describes the interesting – i.e. torsion – part of its topological KO-theory. We show that for a large class of flag varieties, these Witt rings are exterior algebras, and that the degrees of the generators can be determined by Dynkin diagram combinatorics. Besides a few well-studied examples such as full flag varieties and projective spaces, this class includes
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Compressible Euler limit from Boltzmann equation with complete diffusive boundary condition in half-space Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Ning Jiang, Yi-Long Luo, Shaojun Tang
In this paper, we prove the compressible Euler limit from the Boltzmann equation with hard sphere collisional kernel and complete diffusive boundary condition in half-space by employing the Hilbert expansion which includes interior and Knudsen layers. This rigorously justifies the corresponding formal analysis in Sone’s book [Molecular gas dynamics, Birkhäuser Boston, Inc., Boston, MA, 2007] in the
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Surface counterexamples to the Eisenbud-Goto conjecture Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Jong In Han, Sijong Kwak
It is well known that the Eisenbud-Goto regularity conjecture is true for arithmetically Cohen-Macaulay varieties, projective curves, smooth surfaces, smooth threefolds in P 5 \mathbb {P}^5 , and toric varieties of codimension two. After J. McCullough and I. Peeva constructed counterexamples in 2018, it has been an interesting question to find the categories such that the Eisenbud-Goto conjecture holds
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On a conjectural symmetric version of Ehrhard’s inequality Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Galyna Livshyts
We formulate a plausible conjecture for the optimal Ehrhard-type inequality for convex symmetric sets with respect to the Gaussian measure. Namely, letting J k − 1 ( s ) = ∫ 0 s t k − 1 e − t 2 2 d t J_{k-1}(s)=\int ^s_0 t^{k-1} e^{-\frac {t^2}{2}}dt and c k − 1 = J k − 1 ( + ∞ ) c_{k-1}=J_{k-1}(+\infty ) , we conjecture that the function F : [ 0 , 1 ] → R F:[0,1]\rightarrow \mathbb {R} , given by
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Effective approximation to complex algebraic numbers by algebraic numbers of bounded degree Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Prajeet Bajpai, Yann Bugeaud
We establish the first effective improvements on the Liouville inequality for approximation to complex non-real algebraic numbers by complex algebraic numbers of degree at most 4 4 .
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Equivariant lattice bases Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Dinh Le, Tim Römer
We study lattices in free abelian groups of infinite rank that are invariant under the action of the infinite symmetric group, with emphasis on finiteness of their equivariant bases. Our framework provides a new method for proving finiteness results in algebraic statistics. As an illustration, we show that every invariant lattice in Z ( N × [ c ] ) \mathbb {Z}^{(\mathbb {N}\times [c])} , where c ∈
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Colength one deformation rings Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Daniel Le, Bao Le Hung, Stefano Morra, Chol Park, Zicheng Qian
Let K / Q p K/\mathbb {Q}_p be a finite unramified extension, ρ ¯ : G a l ( Q ¯ p / K ) → G L n ( F ¯ p ) \overline {\rho }:\mathrm {Gal}(\overline {\mathbb {Q}}_p/K)\rightarrow \mathrm {GL}_n(\overline {\mathbb {F}}_p) a continuous representation, and τ \tau a tame inertial type of dimension n n . We explicitly determine, under mild regularity conditions on τ \tau , the potentially crystalline deformation
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Semi-integral Brauer–Manin obstruction and quadric orbifold pairs Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-19 Vladimir Mitankin, Masahiro Nakahara, Sam Streeter
We study local-global principles for two notions of semi-integral points, termed Campana points and Darmon points. In particular, we develop a semi-integral version of the Brauer–Manin obstruction interpolating between Manin’s classical version for rational points and the integral version developed by Colliot-Thélène and Xu. We determine the status of local-global principles, and obstructions to them
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Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-10 Claudio Onorati, Arvid Perego, Antonio Rapagnetta
In this paper we study monodromy operators on moduli spaces M v ( S , H ) M_v(S,H) of sheaves on K3 surfaces with non-primitive Mukai vectors v v . If we write v = m w v=mw , with m > 1 m>1 and w w primitive, then our main result is that the inclusion M w ( S , H ) → M v ( S , H ) M_w(S,H)\to M_v(S,H) as the most singular locus induces an isomorphism between the monodromy groups of these symplectic
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On the failure of Ornstein theory in the finitary category Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-09 Uri Gabor
We show the invalidity of finitary counterparts for three classification theorems: The preservation of being a Bernoulli shift through factors, Sinai’s factor theorem, and the weak Pinsker property. We construct a finitary factor of an i.i.d. process which is not finitarily isomorphic to an i.i.d. process, showing that being finitarily Bernoulli is not preserved through finitary factors. This refutes
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𝐾𝐾-duality for self-similar groupoid actions on graphs Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-03 Nathan Brownlowe, Alcides Buss, Daniel Gonçalves, Jeremy Hume, Aidan Sims, Michael Whittaker
We extend Nekrashevych’s K K KK -duality for C ∗ C^* -algebras of regular, recurrent, contracting self-similar group actions to regular, contracting self-similar groupoid actions on a graph, removing the recurrence condition entirely and generalising from a finite alphabet to a finite graph. More precisely, given a regular and contracting self-similar groupoid ( G , E ) (G,E) acting faithfully on a
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Equivariant 3-manifolds with positive scalar curvature Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-04-03 Tsz-Kiu Aaron Chow, Yangyang Li
In this paper, for any compact Lie group G G , we show that the space of G G -equivariant Riemannian metrics with positive scalar curvature (PSC) on any closed three-manifold is either empty or contractible. In particular, we prove the generalized Smale conjecture for spherical three-orbifolds. Moreover, for connected G G , we make a classification of all PSC G G -equivariant three-manifolds.
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Global dynamics above the ground state energy for the energy-critical Klein-Gordon equation Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Tristan Roy
Consider the focusing energy-critical Klein-Gordon equation in dimension d ∈ { 3 , 4 , 5 } d \in \{ 3,4,5 \} { ∂ t t u − Δ u + u a m p ; = | u | 4 d − 2 u , u ( 0 , x ) a m p ; ≔ f 0 ( x ) , ∂ t u ( 0 , x ) a m p ; ≔ f 1 ( x ) \begin{equation*} \begin {cases} \partial _{tt} u - \Delta u + u & = |u|^{\frac {4}{d-2}} u, \\ u(0,x) & ≔f_{0}(x), \\ \partial _{t} u(0,x) & ≔f_{1}(x) \end{cases} \end{equation*}
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Lie groups with all left-invariant semi-Riemannian metrics complete Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Ahmed Elshafei, Ana Cristina Ferreira, Miguel Sánchez, Abdelghani Zeghib
For each left-invariant semi-Riemannian metric g g on a Lie group G G , we introduce the class of bi-Lipschitz Riemannian Clairaut metrics, whose completeness implies the completeness of g g . When the adjoint representation of G G satisfies an at most linear growth bound, then all the Clairaut metrics are complete for any g g . We prove that this bound is satisfied by compact and 2-step nilpotent
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Sharp weighted log-Sobolev inequalities: Characterization of equality cases and applications Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Zoltán Balogh, Sebastiano Don, Alexandru Kristály
By using optimal mass transport theory, we provide a direct proof to the sharp L p L^p -log-Sobolev inequality ( p ≥ 1 ) (p\geq 1) involving a log-concave homogeneous weight on an open convex cone E ⊆ R n E\subseteq \mathbb R^n . The perk of this proof is that it allows to characterize the extremal functions realizing the equality cases in the L p L^p -log-Sobolev inequality. The characterization of
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Algebraic 𝐾-theory of the two-periodic first Morava 𝐾-theory Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Haldun Özgür Bayındır
Using the root adjunction formalism developed in an earlier work and logarithmic THH, we obtain a simplified computation of T ( 2 ) ∗ K ( k u ) T(2)_*\mathrm {K}(ku) for p > 3 p>3 . Through this, we also produce a new algebraic K K -theory computation; namely we obtain T ( 2 ) ∗ K ( k u / p ) T(2)_*\mathrm {K}(ku/p) , where k u / p ku/p is the 2 2 -periodic Morava K K -theory spectrum of height 1 1
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Dichotomy results for eventually always hitting time statistics and almost sure growth of extremes Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Mark Holland, Maxim Kirsebom, Philipp Kunde, Tomas Persson
Suppose ( f , X , μ ) (f,\mathcal {X},\mu ) is a measure preserving dynamical system and ϕ : X → R \phi \colon \mathcal {X}\to \mathbb {R} a measurable function. Consider the maximum process M n ≔ max { X 1 , … , X n } M_n≔\max \{X_1,\ldots ,X_n\} , where X i = ϕ ∘ f i − 1 X_i=\phi \circ f^{i-1} is a time series of observations on the system. Suppose that ( u n ) (u_n) is a non-decreasing sequence
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Local conditions for global convergence of gradient flows and proximal point sequences in metric spaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Lorenzo Dello Schiavo, Jan Maas, Francesco Pedrotti
This paper deals with local criteria for the convergence to a global minimiser for gradient flow trajectories and their discretisations. To obtain quantitative estimates on the speed of convergence, we consider variations on the classical Kurdyka–Łojasiewicz inequality for a large class of parameter functions. Our assumptions are given in terms of the initial data, without any reference to an equilibrium
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A complex case of Vojta’s general abc conjecture and cases of Campana’s orbifold conjecture Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Ji Guo, Julie Wang
We show a truncated second main theorem of level one with explicit exceptional sets for analytic maps into P 2 \mathbb P^2 intersecting the coordinate lines with sufficiently high multiplicities. The proof is based on a greatest common divisor theorem for an analytic map f : C ↦ P n f:\mathbb C\mapsto \mathbb P^n and two homogeneous polynomials in n + 1 n+1 variables with coefficients which are meromorphic
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Symmetric function generalizations of the 𝑞-Baker–Forrester ex-conjecture and Selberg-type integrals Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-29 Guoce Xin, Yue Zhou
It is well-known that the famous Selberg integral is equivalent to the Morris constant term identity. In 1998, Baker and Forrester conjectured a generalization of the q q -Morris constant term identity[J. Combin. Theory Ser. A 81 (1998), pp. 69–87]. This conjecture was proved and extended by Károlyi, Nagy, Petrov, and Volkov (KNPV) in 2015 [Adv. Math. 277 (2015), pp. 252–282]. In this paper, we obtain
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On the Iwasawa main conjecture for the double product Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-13 Daniel Delbourgo
Let σ \sigma and τ \tau denote a pair of absolutely irreducible p p -ordinary and p p -distinguished Galois representations into GL 2 ( F ¯ p ) \operatorname {GL}_2(\overline {\mathbb {F}}_p) . Given two primitive forms ( f , g ) (f,g) such that wt ( f ) > wt ( g ) > 1 \operatorname {wt}(f)>\operatorname {wt}(g)> 1 and where ρ ¯ f ≅ σ \overline {\rho }_f\cong \sigma and ρ ¯ g ≅ τ \overline {\rho
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Long time dynamics of nonequilibrium electroconvection Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-13 Fizay-Noah Lee
The Nernst-Planck-Stokes (NPS) system models electroconvection of ions in a fluid. We consider the system, for two oppositely charged ionic species, on three dimensional bounded domains with Dirichlet boundary conditions for the ionic concentrations (modelling ion selectivity), Dirichlet boundary conditions for the electrical potential (modelling an applied potential), and no-slip boundary conditions
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On higher regularity of Stokes systems with piecewise Hölder continuous coefficients Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Hongjie Dong, Haigang Li, Longjuan Xu
In this paper, we consider higher regularity of a weak solution ( u , p ) (\mathbf {u},p) to stationary Stokes systems with variable coefficients. Under the assumptions that coefficients and data are piecewise C s , δ C^{s,\delta } in a bounded domain consisting of a finite number of subdomains with interfacial boundaries in C s + 1 , μ C^{s+1,\mu } , where s s is a positive integer, δ ∈ ( 0 , 1 )
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On Nielsen realization and manifold models for classifying spaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 James Davis, Wolfgang Lück
We consider the problem of whether, for a given virtually torsionfree discrete group Γ \Gamma , there exists a cocompact proper topological Γ \Gamma -manifold, which is equivariantly homotopy equivalent to the classifying space for proper actions. This problem is related to Nielsen Realization. We will make the assumption that the expected manifold model has a zero-dimensional singular set. Then we
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Quantum symmetries of Hadamard matrices Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Daniel Gromada
We define quantum automorphisms and isomorphisms of Hadamard matrices. We show that every Hadamard matrix of size N ≥ 4 N\ge 4 has quantum symmetries and that all Hadamard matrices of a fixed size are mutually quantum isomorphic. These results pass also to the corresponding Hadamard graphs. We also define quantum Hadamard matrices acting on quantum spaces and bring an example thereof over matrix algebras
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On Jacobians of geometrically reduced curves and their Néron models Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Otto Overkamp
We study the structure of Jacobians of geometrically reduced curves over arbitrary (i.e., not necessarily perfect) fields. We show that, while such a group scheme cannot in general be decomposed into an affine and an Abelian part as over perfect fields, several important structural results for these group schemes nevertheless have close analoga over imperfect fields. We apply our results to prove two
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Infinitesimal maximal symmetry and Ricci soliton solvmanifolds Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Carolyn Gordon, Michael Jablonski
This work addresses the questions: (i) Among all left-invariant Riemannian metrics on a given Lie group, is there any whose isometry group or isometry algebra contains that of all others? (ii) Do expanding left-invariant Ricci solitons exhibit such maximal symmetry? Question (i) is addressed both for semisimple and for solvable Lie groups. Building on previous work of the authors on Einstein metrics
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Nonexpansive maps in nonlinear smooth spaces Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Pedro Pinto
We introduce the notion of a nonlinear smooth space generalizing both CAT ( 0 ) \operatorname {CAT}(0) spaces as well as smooth Banach spaces. We show that this notion allows for a unified treatment of several results in functional analysis. Namely, we substantiate the usefulness of this setting by establishing a nonlinear generalization of an important result due to Reich in Banach spaces. On par
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Bounded differentials on the unit disk and the associated geometry Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Song Dai, Qiongling Li
For a harmonic diffeomorphism between the Poincaré disks, Wan [J. Differential Geom. 35 (1992), pp. 643–657] showed the equivalence between the boundedness of the Hopf differential and the quasi-conformality. In this paper, we will generalize this result from quadratic differentials to r r -differentials. We study the relationship between bounded holomorphic r r -differentials/ ( r − 1 ) (r-1) -differential
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Slicing knots in definite 4-manifolds Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Alexandra Kjuchukova, Allison Miller, Arunima Ray, Sümeyra Sakallı
We study the C P 2 \mathbb {CP}^2 -slicing number of knots, i.e. the smallest m ≥ 0 m\geq 0 such that a knot K ⊆ S 3 K\subseteq S^3 bounds a properly embedded, null-homologous disk in a punctured connected sum ( # m C P 2 ) × (\#^m\mathbb {CP}^2)^{\times } . We find knots for which the smooth and topological C P 2 \mathbb {CP}^2 -slicing numbers are both finite, nonzero, and distinct. To do this, we
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Band projections in spaces of regular operators Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 David Muñoz-Lahoz, Pedro Tradacete
We introduce inner band projections in the space of regular operators on a Dedekind complete Banach lattice and study some structural properties of this class. In particular, we provide a new characterization of atomic order continuous Banach lattices as those for which all band projections in the corresponding space of regular operators are inner. We also characterize the multiplication operators
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Patterns of structural reflection in the large-cardinal hierarchy Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Joan Bagaria, Philipp Lücke
We unveil new patterns of Structural Reflection in the large-cardinal hierarchy below the first measurable cardinal. Namely, we give two different characterizations of strongly unfoldable and subtle cardinals in terms of a weak form of the principle of Structural Reflection, and also in terms of weak product structural reflection. Our analysis prompts the introduction of the new notion of C ( n ) C^{(n)}
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Regularity of capillarity droplets with obstacle Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-09 Guido De Philippis, Nicola Fusco, Massimiliano Morini
In this paper we study the regularity properties of Λ \Lambda -minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.
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Hyperelliptic 𝐴ᵣ-stable curves (and their moduli stack) Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-08 Michele Pernice
This paper is the second in a series of four papers aiming to describe the (almost integral) Chow ring of M ¯ 3 \overline {\mathcal {M}}_3 , the moduli stack of stable curves of genus 3 3 . In this paper, we introduce the moduli stack H ~ g r \widetilde {\mathcal {H}}_g^r of hyperelliptic A r A_r -stable curves and generalize the theory of hyperelliptic stable curves to hyperelliptic A r A_r -stable
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Move-reduced graphs on a torus Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-03-08 Pavel Galashin, Terrence George
We determine which bipartite graphs embedded in a torus are move-reduced. In addition, we classify equivalence classes of such move-reduced graphs under square/spider moves. This extends the class of minimal graphs on a torus studied by Goncharov–Kenyon, and gives a toric analog of Postnikov’s and Thurston’s results on a disk.
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Bessel periods and anticyclotomic 𝑝-adic spinor 𝐿-functions Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Ming-Lun Hsieh, Shunsuke Yamana
We construct the anticyclotomic p p -adic L L -function that interpolates a square root of central values of twisted spinor L L -functions of a quadratic base change of a Siegel cusp form of genus 2 2 with respect to a paramodular group of square-free level.
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On the asymmetric additive energy of polynomials Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Oliver McGrath
We prove a general result concerning the paucity of integer points on a certain family of 4-dimensional affine hypersurfaces. As a consequence, we deduce that integer-valued polynomials have small asymmetric additive energy.
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Bounded Palais-Smale sequences with Morse type information for some constrained functionals Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Jack Borthwick, Xiaojun Chang, Louis Jeanjean, Nicola Soave
In this paper, we study, for functionals having a minimax geometry on a constraint, the existence of bounded Palais-Smale sequences carrying Morse index type information.
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Semiclassical Moser–Trudinger inequalities Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Rakesh Arora, Phan Thành Nam, Phuoc-Tai Nguyen
We extend the Moser–Trudinger inequality of one function to systems of orthogonal functions. Our results are asymptotically sharp when applied to the collective behavior of eigenfunctions of Schrödinger operators on bounded domains.
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The purity locus of matrix Kloosterman sums Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Márton Erdélyi, Will Sawin, Árpád Tóth
We construct a perverse sheaf related to the the matrix exponential sums investigated by Erdélyi and Tóth [Matrix Kloosterman sums, 2021, arXiv:2109.00762]. As this sheaf appears as a summand of certain tensor product of Kloosterman sheaves, we can establish the exact structure of the cohomology attached to the sums by relating it to the Springer correspondence and using the recursion formula of Erdélyi
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Hilbert’s tenth problem in anticyclotomic towers of number fields Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Anwesh Ray, Tom Weston
Let K K be an imaginary quadratic field and p p be an odd prime which splits in K K . Let E 1 E_1 and E 2 E_2 be elliptic curves over K K such that the Gal ( K ¯ / K ) \operatorname {Gal}(\bar {K}/K) -modules E 1 [ p ] E_1[p] and E 2 [ p ] E_2[p] are isomorphic. We show that under certain explicit additional conditions on E 1 E_1 and E 2 E_2 , the anticyclotomic Z p \mathbb {Z}_p -extension K anti
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Global regularity and decay behavior for Leray equations with critical-dissipation and its application to self-similar solutions Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-29 Changxing Miao, Xiaoxin Zheng
In this paper, we show the global regularity and the optimal decay of weak solutions to the generalized Leray problem with critical dissipation. Our approach hinges on the maximal smoothing effect, L p L^{p} -type elliptic regularity of linearization, and the action of the heat semigroup generated by the fractional powers of Laplace operator on distributions with Fourier transforms supported in an
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Optimal transport and timelike lower Ricci curvature bounds on Finsler spacetimes Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-26 Mathias Braun, Shin-ichi Ohta
We prove that a Finsler spacetime endowed with a smooth reference measure whose induced weighted Ricci curvature R i c N \mathrm {Ric}_N is bounded from below by a real number K K in every timelike direction satisfies the timelike curvature-dimension condition T C D q ( K , N ) \mathrm {TCD}_q(K,N) for all q ∈ ( 0 , 1 ) q\in (0,1) . The converse and a nonpositive-dimensional version ( N ≤ 0 N \le 0
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The solid-fluid transmission problem Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-09 Nikolas Eptaminitakis, Plamen Stefanov
We study microlocally the transmission problem at the interface between an isotropic linear elastic solid and a linear inviscid fluid. We set up a system of evolution equations describing the particle displacement and velocity in the solid, and pressure and velocity in the fluid, coupled by suitable transmission conditions at the interface. We show well-posedness for the coupled system and study the
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Elementary abelian subgroups: From algebraic groups to finite groups Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-07 Jianbei An, Heiko Dietrich, Alastair Litterick
We describe a new approach for classifying conjugacy classes of elementary abelian subgroups in simple algebraic groups over an algebraically closed field, and understanding the normaliser and centraliser structure of these. For toral subgroups, we give an effective classification algorithm. For non-toral elementary abelian subgroups, we focus on algebraic groups of exceptional type with a view to
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The Gelfand–Phillips and Dunford–Pettis type properties in bimodules of measurable operators Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-07 Jinghao Huang, Yerlan Nessipbayev, Marat Pliev, Fedor Sukochev
We fully characterize noncommutative symmetric spaces E ( M , τ ) E(\mathcal {M},\tau ) affiliated with a semifinite von Neumann algebra M \mathcal {M} equipped with a faithful normal semifinite trace τ \tau on a (not necessarily separable) Hilbert space having the Gelfand–Phillips property and the WCG-property. The complete list of their relations with other classical structural properties (such as
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Moments and asymptotics for a class of SPDEs with space-time white noise Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-07 Le Chen, Yuhui Guo, Jian Song
In this article, we consider the nonlinear stochastic partial differential equation of fractional order in both space and time variables with constant initial condition: ( ∂ t β + ν 2 ( − Δ ) α / 2 ) u ( t , x ) = I t γ [ λ u ( t , x ) W ˙ ( t , x ) ] t > 0 , x ∈ R d , \begin{equation*} \left (\partial ^{\beta }_t+\dfrac {\nu }{2}\left (-\Delta \right )^{\alpha / 2}\right ) u(t, x) = \: I_{t}^{\gamma
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New tensor products of C*-algebras and characterization of type I C*-algebras as rigidly symmetric C*-algebras Trans. Am. Math. Soc. (IF 1.2) Pub Date : 2024-02-07 Hun Hee Lee, Ebrahim Samei, Matthew Wiersma
Inspired by recent developments in the theory of Banach and operator algebras of locally compact groups, we construct several new classes of bifunctors ( A , B ) ↦ A ⊗ α B (A,B)\mapsto A\otimes _{\alpha } B , where A ⊗ α B A\otimes _\alpha B is a cross norm completion of A ⊙ B A\odot B for each pair of C*-algebras A A and B B . For the first class of bifunctors considered ( A , B ) ↦ A ⊗ p B (A,B)\mapsto