当前期刊: Inventiones mathematicae Go to current issue    加入关注   
显示样式:        排序: IF: - GO 导出
我的关注
我的收藏
您暂时未登录!
登录
  • Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier–Stokes systems
    Invent. math. (IF 2.986) Pub Date : 2020-10-15
    Moon-Jin Kang, Alexis F. Vasseur

    We prove the uniqueness and stability of entropy shocks to the isentropic Euler systems among all vanishing viscosity limits of solutions to associated Navier–Stokes systems. To take into account the vanishing viscosity limit, we show a contraction property for any large perturbations of viscous shocks to the Navier–Stokes system. The contraction estimate does not depend on the strength of the viscosity

    更新日期:2020-10-16
  • Higher Eisenstein elements, higher Eichler formulas and rank of Hecke algebras
    Invent. math. (IF 2.986) Pub Date : 2020-10-14
    Emmanuel Lecouturier

    Let N and p be primes such that p divides the numerator of \(\frac{N-1}{12}\). In this paper, we study the rank \(g_p\) of the completion of the Hecke algebra acting on cuspidal modular forms of weight 2 and level \(\Gamma _0(N)\) at the p-maximal Eisenstein ideal. We give in particular an explicit criterion to know if \(g_p \ge 3\), thus answering partially a question of Mazur. In order to study \(g_p\)

    更新日期:2020-10-14
  • Higher order corks
    Invent. math. (IF 2.986) Pub Date : 2020-10-08
    Paul Melvin, Hannah Schwartz

    It is shown that any finite list of smooth closed simply-connected 4-manifolds homeomorphic to a given one X can be obtained by removing a single compact contractible submanifold (or cork) from X, and then regluing it by powers of a boundary diffeomorphism. We then use this result to ‘separate’ finite families of corks embedded in a fixed 4-manifold.

    更新日期:2020-10-11
  • Bounds for the stalks of perverse sheaves in characteristic p and a conjecture of Shende and Tsimerman
    Invent. math. (IF 2.986) Pub Date : 2020-10-06
    Will Sawin

    We prove a characteristic p analogue of a result of Massey which bounds the dimensions of the stalks of a perverse sheaf in terms of certain intersection multiplicities of the characteristic cycle of that sheaf. This uses the construction of the characteristic cycle of a perverse sheaf in characteristic p by Saito. We apply this to prove a conjecture of Shende and Tsimerman on the Betti numbers of

    更新日期:2020-10-06
  • Algorithmic aspects of branched coverings II/V: sphere bisets and decidability of Thurston equivalence
    Invent. math. (IF 2.986) Pub Date : 2020-10-04
    Laurent Bartholdi, Dzmitry Dudko

    We consider Thurston maps: branched self-coverings of the sphere with ultimately periodic critical points, and prove that the Thurston equivalence problem between them (continuous deformation of maps along with their critical orbits) is decidable. More precisely, we consider the action of mapping class groups, by pre- and post-composition, on branched coverings, and encode them algebraically as mapping

    更新日期:2020-10-04
  • Linear stability of slowly rotating Kerr black holes
    Invent. math. (IF 2.986) Pub Date : 2020-10-01
    Dietrich Häfner, Peter Hintz, András Vasy

    We prove the linear stability of slowly rotating Kerr black holes as solutions of the Einstein vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure gauge term. We work in a natural wave map/DeTurck gauge and show that the pure gauge term can be taken to lie in a fixed 7-dimensional space with a simple geometric interpretation

    更新日期:2020-10-02
  • Endo-parameters for p -adic classical groups
    Invent. math. (IF 2.986) Pub Date : 2020-09-21
    Robert Kurinczuk, Daniel Skodlerack, Shaun Stevens

    For a classical group over a non-archimedean local field of odd residual characteristic p, we prove that two cuspidal types, defined over an algebraically closed field \({\mathbf {C}}\) of characteristic different from p, intertwine if and only if they are conjugate. This completes work of the first and third authors who showed that every irreducible cuspidal \({\mathbf {C}}\)-representation of a classical

    更新日期:2020-09-21
  • New curvature conditions for the Bochner Technique
    Invent. math. (IF 2.986) Pub Date : 2020-09-17
    Peter Petersen, Matthias Wink

    We show that manifolds with \( \lceil \frac{n}{2} \rceil \)-positive curvature operators are rational homology spheres. This follows from a more general vanishing and estimation theorem for the pth Betti number of closed n-dimensional Riemannian manifolds with a lower bound on the average of the lowest \(n-p\) eigenvalues of the curvature operator. This generalizes results due to D. Meyer, Gallot–Meyer

    更新日期:2020-09-18
  • Minimal submanifolds from the abelian Higgs model
    Invent. math. (IF 2.986) Pub Date : 2020-09-10
    Alessandro Pigati, Daniel Stern

    Given a Hermitian line bundle \(L\rightarrow M\) over a closed, oriented Riemannian manifold M, we study the asymptotic behavior, as \(\epsilon \rightarrow 0\), of couples \((u_\epsilon ,\nabla _\epsilon )\) critical for the rescalings $$\begin{aligned} E_\epsilon (u,\nabla )=\int _M\Big (|\nabla u|^2+\epsilon ^2|F_\nabla |^2+\frac{1}{4\epsilon ^2}(1-|u|^2)^2\Big ) \end{aligned}$$ of the self-dual

    更新日期:2020-09-11
  • Universal secant bundles and syzygies of canonical curves
    Invent. math. (IF 2.986) Pub Date : 2020-09-10
    Michael Kemeny

    We introduce a relativization of the secant sheaves from Green and Lazarsfeld (A simple proof of Petri’s theorem on canonical curves, Geometry Today, 1984) and Ein and Lazarsfeld (Inventiones Math 190:603-646, 2012) and apply this construction to the study of syzygies of canonical curves. As a first application, we give a simpler proof of Voisin’s Theorem for general canonical curves. This completely

    更新日期:2020-09-11
  • Standard conjectures for abelian fourfolds
    Invent. math. (IF 2.986) Pub Date : 2020-08-29
    Giuseppe Ancona

    Let A be an abelian fourfold in characteristic p. We prove the standard conjecture of Hodge type for A, namely that the intersection product $$\begin{aligned} {\mathcal {Z}}^2_{\mathrm {num}}(A)_{{\mathbb {Q}}}\times {\mathcal {Z}}_{\mathrm {num}}^2(A)_{{\mathbb {Q}}} \longrightarrow {\mathbb {Q}}\end{aligned}$$ is of signature \((\rho _2 - \rho _1 +1; \rho _1 - 1)\), with \(\rho _n=\dim {\mathcal

    更新日期:2020-08-29
  • Anosov flows, growth rates on covers and group extensions of subshifts
    Invent. math. (IF 2.986) Pub Date : 2020-08-26
    Rhiannon Dougall, Richard Sharp

    The aim of this paper is to study growth properties of group extensions of hyperbolic dynamical systems, where we do not assume that the extension satisfies the symmetry conditions seen, for example, in the work of Stadlbauer on symmetric group extensions and of the authors on geodesic flows. Our main application is to growth rates of periodic orbits for covers of an Anosov flow: we reduce the problem

    更新日期:2020-08-27
  • Existence and uniqueness of the Liouville quantum gravity metric for $$\gamma \in (0,2)$$ γ ∈ ( 0 , 2 )
    Invent. math. (IF 2.986) Pub Date : 2020-08-05
    Ewain Gwynne, Jason Miller

    We show that for each \(\gamma \in (0,2)\), there is a unique metric (i.e., distance function) associated with \(\gamma \)-Liouville quantum gravity (LQG). More precisely, we show that for the whole-plane Gaussian free field (GFF) h, there is a unique random metric \(D_h\) associated with the Riemannian metric tensor “\(e^{\gamma h} (dx^2 + dy^2)\)” on \({\mathbb {C}}\) which is characterized by a

    更新日期:2020-08-06
  • Index of minimal spheres and isoperimetric eigenvalue inequalities
    Invent. math. (IF 2.986) Pub Date : 2020-07-28
    Mikhail Karpukhin

    In the present paper we use twistor theory in order to solve two problems related to harmonic maps from surfaces to Euclidean spheres \({\mathbb {S}}^n\). First, we propose a new approach to isoperimetric eigenvalue inequalities based on energy index. Using this approach we show that for any positive k, the k-th non-zero eigenvalue of the Laplacian on the real projective plane endowed with a metric

    更新日期:2020-07-28
  • The spectrum of simplicial volume
    Invent. math. (IF 2.986) Pub Date : 2020-07-24
    Nicolaus Heuer, Clara Löh

    New constructions in group homology allow us to manufacture high-dimensional manifolds with controlled simplicial volume. We prove that for every dimension bigger than 3 the set of simplicial volumes of orientable closed connected manifolds is dense in \(\mathbb {R}_{\ge 0}\). In dimension 4 we prove that every non-negative rational number is the simplicial volume of some orientable closed connected

    更新日期:2020-07-24
  • Reductivity of the automorphism group of K-polystable Fano varieties
    Invent. math. (IF 2.986) Pub Date : 2020-07-23
    Jarod Alper, Harold Blum, Daniel Halpern-Leistner, Chenyang Xu

    We prove that K-polystable log Fano pairs have reductive automorphism groups. In fact, we deduce this statement by establishing more general results concerning the S-completeness and \(\Theta \)-reductivity of the moduli of K-semistable log Fano pairs. Assuming the conjecture that K-semistability is an open condition, we prove that the Artin stack parametrizing K-semistable Fano varieties admits a

    更新日期:2020-07-24
  • Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature
    Invent. math. (IF 2.986) Pub Date : 2020-07-23
    Virginia Agostiniani, Mattia Fogagnolo, Lorenzo Mazzieri

    In this paper we consider complete noncompact Riemannian manifolds (M, g) with nonnegative Ricci curvature and Euclidean volume growth, of dimension \(n \ge 3\). For every bounded open subset \(\Omega \subset M\) with smooth boundary, we prove that $$\begin{aligned} \int \limits _{\partial \Omega } \left| \frac{\mathrm{H}}{n-1}\right| ^{n-1} \!\!\!\!\!{\mathrm{d}}\sigma \,\,\ge \,\,{\mathrm{AVR}}(g)\

    更新日期:2020-07-24
  • Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$ L p -solvability of the Dirichlet problem
    Invent. math. (IF 2.986) Pub Date : 2020-07-20
    Jonas Azzam, Steve Hofmann, José María Martell, Mihalis Mourgoglou, Xavier Tolsa

    It is well-known that quantitative, scale invariant absolute continuity (more precisely, the weak-\(A_\infty \) property) of harmonic measure with respect to surface measure, on the boundary of an open set \( \Omega \subset \mathbb {R}^{n+1}\) with Ahlfors–David regular boundary, is equivalent to the solvability of the Dirichlet problem in \(\Omega \), with data in \(L^p(\partial \Omega )\) for some

    更新日期:2020-07-21
  • On a conjecture of Furusho over function fields
    Invent. math. (IF 2.986) Pub Date : 2020-07-14
    Chieh-Yu Chang, Yoshinori Mishiba

    In the classical theory of multiple zeta values (MZV’s), Furusho proposed a conjecture asserting that the p-adic MZV’s satisfy the same \({\mathbb {Q}}\)-linear relations that their corresponding real-valued MZV counterparts satisfy. In this paper, we verify a stronger version of a function field analogue of Furusho’s conjecture in the sense that we are able to deal with all linear relations over an

    更新日期:2020-07-14
  • Local limits of uniform triangulations in high genus
    Invent. math. (IF 2.986) Pub Date : 2020-07-11
    Thomas Budzinski, Baptiste Louf

    We prove a conjecture of Benjamini and Curien stating that the local limits of uniform random triangulations whose genus is proportional to the number of faces are the planar stochastic hyperbolic triangulations (PSHT) defined in Curien (Probab Theory Relat Fields 165(3):509–540, 2016). The proof relies on a combinatorial argument and the Goulden–Jackson recurrence relation to obtain tightness, and

    更新日期:2020-07-13
  • Conjectures and results about parabolic induction of representations of $${\text {GL}}_n(F)$$ GL n ( F )
    Invent. math. (IF 2.986) Pub Date : 2020-07-06
    Erez Lapid, Alberto Mínguez

    In 1980 Zelevinsky introduced certain commuting varieties whose irreducible components classify complex, irreducible representations of the general linear group over a non-archimedean local field with a given supercuspidal support. We formulate geometric conditions for certain triples of such components and conjecture that these conditions are related to irreducibility of parabolic induction. The conditions

    更新日期:2020-07-06
  • The set of non-uniquely ergodic d -IETs has Hausdorff codimension 1/2
    Invent. math. (IF 2.986) Pub Date : 2020-06-26
    Jon Chaika, Howard Masur

    We show that the set of not uniquely ergodic d-IETs with permutation in the Rauzy class of the hyperelliptic permutation has Hausdorff dimension \(d-\frac{3}{2} \) [in the \((d-1)\)-dimension space of d-IETs] for \(d\ge 5\). For \(d=4\) this was shown by Athreya–Chaika and for \(d\in \{2,3\}\) the set is known to have dimension \(d-2\). This provides lower bounds on the Hausdorff dimension of non-weakly

    更新日期:2020-06-26
  • Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration
    Invent. math. (IF 2.986) Pub Date : 2020-06-25
    Alexander I. Efimov

    We disprove two (unpublished) conjectures of Kontsevich which state generalized versions of categorical Hodge-to-de Rham degeneration for smooth and for proper DG categories (but not smooth and proper, in which case degeneration is proved by Kaledin (in: Algebra, geometry, and physics in the 21st century. Birkhäuser/Springer, Cham, pp 99–129, 2017). In particular, we show that there exists a minimal

    更新日期:2020-06-26
  • Positive scalar curvature and 10/8-type inequalities on 4-manifolds with periodic ends
    Invent. math. (IF 2.986) Pub Date : 2020-06-19
    Hokuto Konno, Masaki Taniguchi

    We show 10/8-type inequalities for some end-periodic 4-manifolds which have positive scalar curvature metrics on the ends. As an application, we construct a new family of closed 4-manifolds which do not admit positive scalar curvature metrics.

    更新日期:2020-06-19
  • A non-nuclear $$C^*$$C∗ -algebra with the weak expectation property and the local lifting property
    Invent. math. (IF 2.986) Pub Date : 2020-06-17
    Gilles Pisier

    We construct the first example of a \(C^*\)-algebra A with the properties in the title. This gives a new example of non-nuclear A for which there is a unique \(C^*\)-norm on \(A \otimes A^{op}\). This example is of particular interest in connection with the Connes–Kirchberg problem, which is equivalent to the question whether \(C^*({\mathbb {F}}_2)\), which is known to have the LLP, also has the WEP

    更新日期:2020-06-17
  • Singularities and syzygies of secant varieties of nonsingular projective curves
    Invent. math. (IF 2.986) Pub Date : 2020-06-15
    Lawrence Ein, Wenbo Niu, Jinhyung Park

    In recent years, the equations defining secant varieties and their syzygies have attracted considerable attention. The purpose of the present paper is to conduct a thorough study on secant varieties of curves by settling several conjectures and revealing interaction between singularities and syzygies. The main results assert that if the degree of the embedding line bundle of a nonsingular curve of

    更新日期:2020-06-15
  • Differential K -theory and localization formula for $$\eta $$η -invariants
    Invent. math. (IF 2.986) Pub Date : 2020-06-11
    Bo Liu, Xiaonan Ma

    In this paper we obtain a localization formula in differential K-theory for \(S^1\)-actions. We establish a localization formula for equivariant \(\eta \)-invariants by combining this result with our extension of Goette’s result on the comparison of two types of equivariant \(\eta \)-invariants. An important step in our approach is to construct a pre-\(\lambda \)-ring structure in differential K-theory

    更新日期:2020-06-11
  • The polynomial method over varieties
    Invent. math. (IF 2.986) Pub Date : 2020-06-04
    Miguel N. Walsh

    We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bounds for the number of connected components of real algebraic varieties. As a first application, we provide a general incidence estimate that is tight in its dependence on the size, degree and dimension of the varieties involved

    更新日期:2020-06-04
  • Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials
    Invent. math. (IF 2.986) Pub Date : 2020-06-04
    Dawei Chen, Martin Möller, Adrien Sauvaget, Don Zagier

    We show that the Masur–Veech volumes and area Siegel–Veech constants can be obtained using intersection theory on strata of Abelian differentials with prescribed orders of zeros. As applications, we evaluate their large genus limits and compute the saddle connection Siegel–Veech constants for all strata. We also show that the same results hold for the spin and hyperelliptic components of the strata

    更新日期:2020-06-04
  • Diophantine problems and p -adic period mappings
    Invent. math. (IF 2.986) Pub Date : 2020-05-18
    Brian Lawrence, Akshay Venkatesh

    We give an alternative proof of Faltings’s theorem (Mordell’s conjecture): a curve of genus at least two over a number field has finitely many rational points. Our argument utilizes the set-up of Faltings’s original proof, but is in spirit closer to the methods of Chabauty and Kim: we replace the use of abelian varieties by a more detailed analysis of the variation of p-adic Galois representations

    更新日期:2020-05-18
  • Birational geometry of symplectic quotient singularities
    Invent. math. (IF 2.986) Pub Date : 2020-04-30
    Gwyn Bellamy, Alastair Craw

    For a finite subgroup \(\Gamma \subset \mathrm {SL}(2,\mathbb {C})\) and for \(n\ge 1\), we use variation of GIT quotient for Nakajima quiver varieties to study the birational geometry of the Hilbert scheme of n points on the minimal resolution S of the Kleinian singularity \(\mathbb {C}^2/\Gamma \). It is well known that \(X:={{\,\mathrm{{\mathrm {Hilb}}}\,}}^{[n]}(S)\) is a projective, crepant resolution

    更新日期:2020-04-30
  • A nonlinear Plancherel theorem with applications to global well-posedness for the defocusing Davey–Stewartson equation and to the inverse boundary value problem of Calderón
    Invent. math. (IF 2.986) Pub Date : 2019-11-02
    Adrian Nachman, Idan Regev, Daniel Tataru

    We prove a Plancherel theorem for a nonlinear Fourier transform in two dimensions arising in the Inverse Scattering method for the defocusing Davey–Stewartson II equation. We then use it to prove global well-posedness and scattering in \(L^2\) for defocusing DSII. This Plancherel theorem also implies global uniqueness in the inverse boundary value problem of Calderón in dimension 2, for conductivities

    更新日期:2020-04-21
  • The Fried conjecture in small dimensions
    Invent. math. (IF 2.986) Pub Date : 2019-11-27
    Nguyen Viet Dang, Colin Guillarmou, Gabriel Rivière, Shu Shen

    We study the twisted Ruelle zeta function \(\zeta _X(s)\) for smooth Anosov vector fields X acting on flat vector bundles over smooth compact manifolds. In dimension 3, we prove the Fried conjecture, relating Reidemeister torsion and \(\zeta _X(0)\). In higher dimensions, we show more generally that \(\zeta _X(0)\) is locally constant with respect to the vector field X under a spectral condition. As

    更新日期:2020-04-21
  • Hodge filtration, minimal exponent, and local vanishing
    Invent. math. (IF 2.986) Pub Date : 2019-11-04
    Mircea Mustaţă, Mihnea Popa

    We bound the generation level of the Hodge filtration on the localization along a hypersurface in terms of its minimal exponent. As a consequence, we obtain a local vanishing theorem for sheaves of forms with log poles. These results are extended to \({\mathbf {Q}}\)-divisors, and are derived from a result of independent interest on the generation level of the Hodge filtration on nearby and vanishing

    更新日期:2020-04-21
  • Arctic boundaries of the ice model on three-bundle domains
    Invent. math. (IF 2.986) Pub Date : 2019-12-05
    Amol Aggarwal

    In this paper we consider the six-vertex model at ice point on an arbitrary three-bundle domain, which is a generalization of the domain-wall ice model on the square (or, equivalently, of a uniformly random alternating sign matrix). We show that this model exhibits the arctic boundary phenomenon, whose boundary is given by a union of explicit algebraic curves. This was originally predicted by Colomo

    更新日期:2020-04-21
  • Pathologies on the Hilbert scheme of points
    Invent. math. (IF 2.986) Pub Date : 2019-12-05
    Joachim Jelisiejew

    We prove that the Hilbert scheme of points on a higher dimensional affine space is non-reduced and has components lying entirely in characteristic p for all primes p. In fact, we show that Vakil’s Murphy’s Law holds up to retraction for this scheme. Our main tool is a generalized version of the Białynicki-Birula decomposition.

    更新日期:2020-04-21
  • Cluster exchange groupoids and framed quadratic differentials
    Invent. math. (IF 2.986) Pub Date : 2019-11-06
    Alastair King, Yu Qiu

    We introduce the cluster exchange groupoid associated to a non-degenerate quiver with potential, as an enhancement of the cluster exchange graph. In the case that arises from an (unpunctured) marked surface, where the exchange graph is modelled on the graph of triangulations of the marked surface, we show that the universal cover of this groupoid can be constructed using the covering graph of triangulations

    更新日期:2020-04-21
  • Multiple zeta values in deformation quantization
    Invent. math. (IF 2.986) Pub Date : 2020-04-20
    Peter Banks, Erik Panzer, Brent Pym

    Kontsevich’s 1997 formula for the deformation quantization of Poisson brackets is a Feynman expansion involving volume integrals over moduli spaces of marked disks. We develop a systematic theory of integration on these moduli spaces via suitable algebras of polylogarithms, and use it to prove that Kontsevich’s integrals can be expressed as integer-linear combinations of multiple zeta values. Our proof

    更新日期:2020-04-21
  • Full factors, bicentralizer flow and approximately inner automorphisms
    Invent. math. (IF 2.986) Pub Date : 2020-04-16
    Amine Marrakchi

    We show that a factor M is full if and only if the \(C^*\)-algebra generated by its left and right regular representations contains the compact operators. We prove that the bicentralizer flow of a type \(\mathrm{III}_1\) factor is always ergodic. As a consequence, for any type \(\mathrm{III}_1\) factor M and any \(\lambda \in ]0,1]\), there exists an irreducible AFD type \(\mathrm{III}_\lambda \) subfactor

    更新日期:2020-04-21
  • On the integral Hodge conjecture for real varieties, I
    Invent. math. (IF 2.986) Pub Date : 2020-04-15
    Olivier Benoist, Olivier Wittenberg

    We formulate the “real integral Hodge conjecture”, a version of the integral Hodge conjecture for real varieties, and raise the question of its validity for cycles of dimension 1 on uniruled and Calabi–Yau threefolds and on rationally connected varieties. We relate it to the problem of determining the image of the Borel–Haefliger cycle class map for 1-cycles, with the problem of deciding whether a

    更新日期:2020-04-21
  • Kazhdan groups have cost 1
    Invent. math. (IF 2.986) Pub Date : 2020-04-02
    Tom Hutchcroft, Gábor Pete

    We prove that every countably infinite group with Kazhdan’s property (T) has cost 1, answering a well-known question of Gaboriau. It remains open if they have fixed price 1.

    更新日期:2020-04-21
  • Correction to: Diffeomorphism groups of critical regularity
    Invent. math. (IF 2.986) Pub Date : 2020-04-01
    Sang-hyun Kim, Thomas Koberda

    Due to an oversight in the Acknowledgment the grant number from Samsung Science and Technology Foundation is wrong, it should read SSTF-BA1301-06 and SSTF-BA1301-51.

    更新日期:2020-04-21
  • Correction to: Fourier uniformity of bounded multiplicative functions in short intervals on average
    Invent. math. (IF 2.986) Pub Date : 2019-11-20
    Kaisa Matomäki, Maksym Radziwiłł, Terence Tao

    The original version of this article unfortunately contains a mistake.

    更新日期:2020-04-21
  • A uniqueness result for the decomposition of vector fields in $$\mathbb {R}^{{d}}$$Rd
    Invent. math. (IF 2.986) Pub Date : 2019-11-06
    Stefano Bianchini, Paolo Bonicatto

    Given a vector field \(\rho (1,\mathbf {b}) \in L^1_\mathrm{loc}(\mathbb {R}^+\times \mathbb {R}^{d},\mathbb {R}^{d+1})\) such that \({{\,\mathrm{div}\,}}_{t,x} (\rho (1,\mathbf {b}))\) is a measure, we consider the problem of uniqueness of the representation \(\eta \) of \(\rho (1,\mathbf {b}) {\mathcal {L}}^{d+1}\) as a superposition of characteristics \(\gamma : (t^-_\gamma ,t^+_\gamma ) \rightarrow

    更新日期:2020-04-21
  • Rigidity theorems for circle domains
    Invent. math. (IF 2.986) Pub Date : 2019-09-20
    Dimitrios Ntalampekos, Malik Younsi

    A circle domain \(\Omega \) in the Riemann sphere is conformally rigid if every conformal map from \(\Omega \) onto another circle domain is the restriction of a Möbius transformation. We show that circle domains satisfying a certain quasihyperbolic condition, which was considered by Jones and Smirnov (Ark Mat 38, 263–279, 2000), are conformally rigid. In particular, Hölder circle domains and John

    更新日期:2020-04-21
  • Fourier uniformity of bounded multiplicative functions in short intervals on average
    Invent. math. (IF 2.986) Pub Date : 2019-09-26
    Kaisa Matomäki, Maksym Radziwiłł, Terence Tao

    Let \(\lambda \) denote the Liouville function. We show that as \(X \rightarrow \infty \), $$\begin{aligned} \int _{X}^{2X} \sup _{\alpha } \left| \sum _{x < n \le x + H} \lambda (n) e(-\alpha n) \right| dx = o ( X H) \end{aligned}$$ for all \(H \ge X^{\theta }\) with \(\theta > 0\) fixed but arbitrarily small. Previously, this was only known for \(\theta > 5/8\). For smaller values of \(\theta \)

    更新日期:2020-04-21
  • Mirror symmetry for moduli spaces of Higgs bundles via p-adic integration
    Invent. math. (IF 2.986) Pub Date : 2020-04-01
    Michael Groechenig, Dimitri Wyss, Paul Ziegler

    We prove the Topological Mirror Symmetry Conjecture by Hausel–Thaddeus for smooth moduli spaces of Higgs bundles of type \(SL_n\) and \(PGL_n\). More precisely, we establish an equality of stringy Hodge numbers for certain pairs of algebraic orbifolds generically fibred into dual abelian varieties. Our proof utilises p-adic integration relative to the fibres, and interprets canonical gerbes present

    更新日期:2020-04-21
  • When Kloosterman sums meet Hecke eigenvalues
    Invent. math. (IF 2.986) Pub Date : 2019-09-27
    Ping Xi

    By elaborating a two-dimensional Selberg sieve with asymptotics and equidistributions of Kloosterman sums from \(\ell \)-adic cohomology, as well as a Bombieri–Vinogradov type mean value theorem for Kloosterman sums in arithmetic progressions, it is proved that for any given primitive Hecke–Maass cusp form of trivial nebentypus, the eigenvalue of the n-th Hecke operator does not coincide with the Kloosterman

    更新日期:2020-04-21
  • p -converse to a theorem of Gross–Zagier, Kolyvagin and Rubin
    Invent. math. (IF 2.986) Pub Date : 2019-11-02
    Ashay A. Burungale, Ye Tian

    Let E be a CM elliptic curve over the rationals and \(p>3\) a good ordinary prime for E. We show that $$\begin{aligned} {\mathrm {corank}}_{{\mathbb {Z}}_{p}} {\mathrm {Sel}}_{p^{\infty }}(E_{/{\mathbb {Q}}})=1 \implies {\mathrm {ord}}_{s=1}L(s,E_{/{\mathbb {Q}}})=1 \end{aligned}$$ for the \(p^{\infty }\)-Selmer group \({\mathrm {Sel}}_{p^{\infty }}(E_{/{\mathbb {Q}}})\) and the complex L-function

    更新日期:2020-04-21
  • Mating quadratic maps with the modular group II
    Invent. math. (IF 2.986) Pub Date : 2019-10-10
    Shaun Bullett, Luna Lomonaco

    In 1994 S. Bullett and C. Penrose introduced the one complex parameter family of (2 : 2) holomorphic correspondences \(\mathcal {F}_a\): $$\begin{aligned} \left( \frac{aw-1}{w-1}\right) ^2+\left( \frac{aw-1}{w-1}\right) \left( \frac{az+1}{z+1}\right) +\left( \frac{az+1}{z+1}\right) ^2=3 \end{aligned}$$ and proved that for every value of \(a \in [4,7] \subset \mathbb {R}\) the correspondence \(\mathcal

    更新日期:2020-04-21
  • Cohomological Donaldson–Thomas theory of a quiver with potential and quantum enveloping algebras
    Invent. math. (IF 2.986) Pub Date : 2020-03-24
    Ben Davison, Sven Meinhardt

    This paper concerns the cohomological aspects of Donaldson–Thomas theory for Jacobi algebras and the associated cohomological Hall algebra, introduced by Kontsevich and Soibelman. We prove the Hodge-theoretic categorification of the integrality conjecture and the wall crossing formula, and furthermore realise the isomorphism in both of these theorems as Poincaré–Birkhoff–Witt isomorphisms for the associated

    更新日期:2020-04-21
  • Jacquet modules and local Langlands correspondence
    Invent. math. (IF 2.986) Pub Date : 2019-09-05
    Hiraku Atobe

    Abstract In this paper, we explicitly compute the semisimplifications of all Jacquet modules of irreducible representations with generic L-parameters of p-adic split odd special orthogonal groups or symplectic groups. Our computation represents them in terms of linear combinations of standard modules with rational coefficients. The main ingredient of this computation is to apply Mœglin’s explicit construction

    更新日期:2020-03-20
  • Cohomology of p -adic Stein spaces
    Invent. math. (IF 2.986) Pub Date : 2019-10-09
    Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł

    Abstract We compute p-adic étale and pro-étale cohomologies of Drinfeld half-spaces. In the pro-étale case, the main input is a comparison theorem for p-adic Stein spaces; the cohomology groups involved here are much bigger than in the case of étale cohomology of algebraic varieties or proper analytic spaces considered in all previous works. In the étale case, the classical p-adic comparison theorems

    更新日期:2020-03-20
  • The Bieri–Neumann–Strebel invariants via Newton polytopes
    Invent. math. (IF 2.986) Pub Date : 2019-09-07
    Dawid Kielak

    Abstract We study the Newton polytopes of determinants of square matrices defined over rings of twisted Laurent polynomials. We prove that such Newton polytopes are single polytopes (rather than formal differences of two polytopes); this result can be seen as analogous to the fact that determinants of matrices over commutative Laurent polynomial rings are themselves polynomials, rather than rational

    更新日期:2020-03-20
  • On Falconer’s distance set problem in the plane
    Invent. math. (IF 2.986) Pub Date : 2019-08-23
    Larry Guth, Alex Iosevich, Yumeng Ou, Hong Wang

    Abstract If \(E \subset \mathbb {R}^2\) is a compact set of Hausdorff dimension greater than 5 / 4, we prove that there is a point \(x \in E\) so that the set of distances \(\{ |x-y| \}_{y \in E}\) has positive Lebesgue measure.

    更新日期:2020-03-20
  • Growth of periodic Grigorchuk groups
    Invent. math. (IF 2.986) Pub Date : 2019-09-24
    Anna Erschler, Tianyi Zheng

    Abstract On torsion Grigorchuk groups we construct random walks of finite entropy and power-law tail decay with non-trivial Poisson boundary. Such random walks provide near optimal volume lower estimates for these groups. In particular, for the first Grigorchuk group G we show that its growth \(v_{G,S}(n)\) satisfies \(\lim _{n\rightarrow \infty }\log \log v_{G,S}(n)/\log n=\alpha _{0}\), where \(\alpha

    更新日期:2020-03-20
  • Undecidability of the word problem for one-relator inverse monoids via right-angled Artin subgroups of one-relator groups
    Invent. math. (IF 2.986) Pub Date : 2019-09-09
    Robert D. Gray

    Abstract We prove the following results: (1) There is a one-relator inverse monoid \(\mathrm {Inv}\langle A\,|\,w=1 \rangle \) with undecidable word problem; and (2) There are one-relator groups with undecidable submonoid membership problem. The second of these results is proved by showing that for any finite forest the associated right-angled Artin group embeds into a one-relator group. Combining

    更新日期:2020-03-20
  • Invariance of white noise for KdV on the line
    Invent. math. (IF 2.986) Pub Date : 2020-03-19
    Rowan Killip, Jason Murphy, Monica Visan

    We consider the Korteweg–de Vries equation with white noise initial data, posed on the whole real line, and prove the almost sure existence of solutions. Moreover, we show that the solutions obey the group property and follow a white noise law at all times, past or future. As an offshoot of our methods, we also obtain a new proof of the existence of solutions and the invariance of white noise measure

    更新日期:2020-03-19
  • Zimmer’s conjecture for actions of $$\mathrm {SL}(m,\pmb {\mathbb {Z}})$$ SL ( m , Z )
    Invent. math. (IF 2.986) Pub Date : 2020-03-16
    Aaron Brown, David Fisher, Sebastian Hurtado

    We prove Zimmer’s conjecture for \(C^2\) actions by finite-index subgroups of \(\mathrm {SL}(m,{\mathbb {Z}})\) provided \(m>3\). The method utilizes many ingredients from our earlier proof of the conjecture for actions by cocompact lattices in \(\mathrm {SL}(m,{\mathbb {R}})\) (Brown et al. in Zimmer’s conjecture: subexponential growth, measure rigidity, and strong property (T), 2016. arXiv:1608.04995)

    更新日期:2020-03-16
  • The Betti map associated to a section of an abelian scheme
    Invent. math. (IF 2.986) Pub Date : 2020-03-16
    Y. André, P. Corvaja, U. Zannier

    Given a point \(\xi \) on a complex abelian variety A, its abelian logarithm can be expressed as a linear combination of the periods of A with real coefficients, the Betti coordinates of \(\xi \). When \((A, \xi )\) varies in an algebraic family, these coordinates define a system of multivalued real-analytic functions. Computing its rank (in the sense of differential geometry) becomes important when

    更新日期:2020-03-16
Contents have been reproduced by permission of the publishers.
导出
全部期刊列表>>
Springer 纳米技术权威期刊征稿
全球视野覆盖
施普林格·自然新
chemistry
3分钟学术视频演讲大赛
物理学研究前沿热点精选期刊推荐
自然职位线上招聘会
欢迎报名注册2020量子在线大会
化学领域亟待解决的问题
材料学研究精选新
GIANT
ACS ES&T Engineering
ACS ES&T Water
屿渡论文,编辑服务
ACS Publications填问卷
阿拉丁试剂right
麻省大学
西北大学
湖南大学
华东师范大学
王要兵
化学所
隐藏1h前已浏览文章
课题组网站
新版X-MOL期刊搜索和高级搜索功能介绍
ACS材料视界
天合科研
x-mol收录
陆军军医大学
杨财广
廖矿标
试剂库存
down
wechat
bug