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Lebesgue points of functions in the complex Sobolev space Int. J. Math. (IF 0.6) Pub Date : 2024-03-13 Gabriel Vigny, Duc-Viet Vu
Let φ be a function in the complex Sobolev space W∗(U), where U is an open subset in ℂk. We show that the complement of the set of Lebesgue points of φ is pluripolar. The key ingredient in our approach is to show that |φ|α for α∈[1,2) is locally bounded from above by a plurisubharmonic function.
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Stability and localization of the Lp Bergman kernel Int. J. Math. (IF 0.6) Pub Date : 2024-03-11 Liyou Zhang, Ziyi Zhang
The aims of this paper are twofold. First, we generalize the classical Ramadanov theorem and Skwarczyński theorem for the L2 Bergman kernels to the Lp case, which are concerned with the compact convergence of Lp Bergman kernels on an increasing or decreasing sequence of domains in ℂn. Second, we prove a localization principle for the Lp Bergman kernel on bounded strongly pseudoconvex domains with smooth
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Normalized quandle twisted Alexander invariants Int. J. Math. (IF 0.6) Pub Date : 2024-03-06 Atsushi Ishii, Kanako Oshiro
We introduce a quandle version of the normalized (twisted) Alexander polynomial, which is an invariant of a pair of an oriented link and a quandle representation. The invariant can be constructed by fixing each Alexander pair, and we find various invariants in our framework, which include the quandle cocycle invariant and the normalized (twisted) Alexander polynomial of a knot. In this paper, we develop
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Locally conformally product structures Int. J. Math. (IF 0.6) Pub Date : 2024-03-05 Brice Flamencourt
A locally conformally product (LCP) structure on compact manifold M is a conformal structure c together with a closed, non-exact and non-flat Weyl connection D with reducible holonomy. Equivalently, an LCP structure on M is defined by a reducible, non-flat, incomplete Riemannian metric hD on the universal cover M̃ of M, with respect to which the fundamental group π1(M) acts by similarities. It was
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A characterization of quasipositive two-bridge knots Int. J. Math. (IF 0.6) Pub Date : 2024-03-02 Burak Ozbagci, Stepan Orevkov
We prove a simple necessary and sufficient condition for a two-bridge knot K(p,q) to be quasipositive, based on the continued fraction expansion of p/q. As an application, coupled with some classification results in contact and symplectic topology, we give a new proof of the fact that smoothly slice two-bridge knots are non-quasipositive. Another proof of this fact using methods within the scope of
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Finsler metrizabilities and geodesic invariance Int. J. Math. (IF 0.6) Pub Date : 2024-02-28 Ioan Bucataru, Oana Constantinescu
We demonstrate that various metrizability problems for Finsler sprays can be reformulated in terms of the geodesic invariance of two tensors, namely the metric and angular tensors. We show that a spray S is the geodesic spray of some Finsler metric if and only if its metric tensor is geodesically invariant. Moreover, we establish that gyroscopic sprays constitute the largest class of sprays characterized
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Some curvature properties of spherically symmetric Finsler metrics Int. J. Math. (IF 0.6) Pub Date : 2024-02-23 Akbar Tayebi, Faezeh Eslami
In this paper, we study some important Remannian and non-Riemannian curvature properties of spherically symmetric Finsler metrics. Under a condition on the geodesic coefficient, we find the necessary and sufficient conditions under which spherically symmetric metrics are of scalar flag curvature, W-quadratic or projectively Ricci-flat. For spherically symmetric metrics of relatively isotropic Landsberg
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The degree 2 part of the LMO invariant of cyclic branched covers of knots obtained by plumbing the doubles of two knots Int. J. Math. (IF 0.6) Pub Date : 2024-02-23 Kouki Yamaguchi
The LMO invariant is a universal quantum invariant of closed oriented 3-manifolds. In this paper, we present the degree 2 part of the LMO invariant of cyclic branched covers of knots by using the 3-loop invariant of knots, and we calculate it concretely for knots obtained by plumbing the doubles of two knots.
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Monotonicity and one-dimensional symmetry of solutions for the weighted fractional parabolic equations on the whole space Int. J. Math. (IF 0.6) Pub Date : 2024-02-20 Ye Li, Chuang Lin, Kelei Zhang
In this paper, we investigate the monotonicity and one-dimensional symmetry of solutions for parabolic equations related to the weighted fractional Laplacian on the whole space. We first establish a generalized weighted average inequality and the maximum principle in unbounded domains, and then carry out the sliding method to obtain monotonicity and one-dimensional symmetry of solutions.
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Force stability of the Boltzmann equations Int. J. Math. (IF 0.6) Pub Date : 2024-02-15 Ming-Jiea Lyu, Kung-Chien Wu
In this paper, we consider the Boltzmann equation with external force in the whole space, where the collision kernel is assumed to be hard potential and cutoff. We prove that the solutions of such Boltzmann equations are Lp (1≤p<∞) stable under the perturbation of external force. Our estimate is based on the gradient estimate of the solution. The key step of this paper is to estimate the solutions
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Distance formulas in Bruhat–Tits building of SLd(ℚp) Int. J. Math. (IF 0.6) Pub Date : 2024-02-14 Dominik Lachman
We study the distance on the Bruhat–Tits building of the group SLd(ℚp) (and its other combinatorial properties). Coding its vertices by certain matrix representatives, we introduce a way how to build formulas with combinatorial meanings. In Theorem 1, we give an explicit formula for the graph distance δ(α,β) of two vertices α and β (without having to specify their common apartment). Our main result
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Equivariant spectral flow and equivariant η-invariants on manifolds with boundary Int. J. Math. (IF 0.6) Pub Date : 2024-02-14 Johnny Lim, Hang Wang
In this paper, we study several closely related invariants associated to Dirac operators on odd-dimensional manifolds with boundary with an action of the compact group H of isometries. In particular, the equality between equivariant winding numbers, equivariant spectral flow and equivariant Maslov indices is established. We also study equivariant η-invariants which play a fundamental role in the equivariant
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Properly outer and strictly outer actions of finite groups on prime C*-algebras Int. J. Math. (IF 0.6) Pub Date : 2024-02-14 Costel Peligrad
An action of a compact, in particular finite group on a C*-algebra is called properly outer if no automorphism of the group that is distinct from identity is implemented by a unitary element of the algebra of local multipliers of the C*-algebra. In this paper, I define the notion of strictly outer action (similar to the definition for von Neumann factors in [S. Vaes, The unitary implementation of a
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Rigidity of self-shrinkers with constant squared norm of the second fundamental form Int. J. Math. (IF 0.6) Pub Date : 2024-02-01 Yu Fu, Dan Yang
In this paper, we investigate the rigidity of self-shrinkers in a Euclidean space ℝn+1. We first prove that any self-shrinker X:M→ℝn+1 with constant squared norm of the second fundamental form and with at most two distinct principal curvatures is an open part of a hyperplane ℝn, a cylinder Sk(k)×ℝn−k (1≤k≤n−1) or the round sphere Sn(n). Then, it can be applied to show that any complete self-shrinker
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On uniqueness of submaximally symmetric parabolic geometries Int. J. Math. (IF 0.6) Pub Date : 2024-01-24 Dennis The
Among the (regular, normal) parabolic geometries of type (G,P), there is a locally unique maximally symmetric structure and it has the symmetry dimension dim(G). The symmetry gap problem concerns the determination of the next realizable (submaximal) symmetry dimension. When G is a complex or split-real simple Lie group of rank at least three or when (G,P)=(G2,P2), we establish a local uniqueness result
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Modular categories of Frobenius–Perron dimension p2q2r2 and perfect modular categories Int. J. Math. (IF 0.6) Pub Date : 2024-01-19 Dewei Zhou, Jingcheng Dong
We prove that modular categories of Frobenius–Perron dimension p2q2r2 are solvable, where p
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Kawaguchi–Silverman conjecture on automorphisms of projective threefolds Int. J. Math. (IF 0.6) Pub Date : 2024-01-12 Sichen Li
Under the framework of dynamics on normal projective varieties by Kawamata, Nakayama and Zhang, and Hu and Li, we may reduce Kawaguchi–Silverman conjecture for automorphisms f on normal projective threefolds X with either the canonical divisor KX is trivial or negative Kodaira dimension to the following two cases: (i) f is a primitively automorphism of a weak Calabi–Yau threefold, (ii) X is a rationally
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Hopf PBW-deformations of a new type quantum group Uq(𝔰𝔩2∗) and deformed preprojective algebras Int. J. Math. (IF 0.6) Pub Date : 2024-01-12 Yongjun Xu, Jialei Chen
We classify all the Hopf PBW-deformations of a new type quantum group Uq(𝔰𝔩2∗) from which the classical Drinfeld–Jimbo quantum group Uq(𝔰𝔩2) can arise as an almost unique nontrivial one. Different from the Uq(𝔰𝔩2) case, the category of finite-dimensional Uq(𝔰𝔩2∗)-modules is non-semisimple. We establish a block decomposition theorem for the category Uq(𝔰𝔩2∗)−mod wt of finite-dimensional weight
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Complex vs. convex Morse functions and geodesic open books Int. J. Math. (IF 0.6) Pub Date : 2024-01-06 Pierre Dehornoy, Burak Ozbagci
Suppose that Σ is a closed and oriented surface equipped with a Riemannian metric. In the literature, there are three seemingly distinct constructions of open books on the unit (co)tangent bundle of Σ, having complex, contact and dynamical flavors, respectively. Each one of these constructions is based on either an admissible divide or an ordered Morse function on Σ. We show that the resulting open
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On bounded coordinates in bimodules Int. J. Math. (IF 0.6) Pub Date : 2023-12-22 Debabrata De, Kunal Mukherjee
We provide a comprehensive study on uniformly left ψ-bounded (respectively, (φ,ψ)-bounded) orthonormal bases in infinite-dimensional cyclic bimodules associated with c.p. maps between two von Neumann algebras M and N, where φ and ψ are faithful normal states on M and N, respectively. Separate investigations on cyclic bimodules associated with Markov maps and arbitrary c.p. maps are also provided since
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Vector invariants of permutation groups in characteristic zero Int. J. Math. (IF 0.6) Pub Date : 2023-12-21 Fabian Reimers, Müfit Sezer
We consider a finite permutation group acting naturally on a vector space V over a field 𝕜. A well-known theorem of Göbel asserts that the corresponding ring of invariants 𝕜[V]G is generated by the invariants of degree at most dimV2. In this paper, we show that if the characteristic of 𝕜 is zero, then the top degree of vector coinvariants 𝕜[Vm]G is also bounded above by dimV2, which implies the
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Geometry of four-dimensional Kähler and para-Kähler Lie groups Int. J. Math. (IF 0.6) Pub Date : 2023-12-08 M. Ferreiro-Subrido, E. García-Río, R. Vázquez-Lorenzo
We classify four-dimensional para-Kähler Lie algebras and study their geometry showing that they are symmetric or simply harmonic special recurrent, in the semi-symmetric case. The non-semi-symmetric case allows essentially two distinct geometries in addition to the 3-symmetric spaces, without a Kählerian counterpart.
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Contact non-squeezing and orderability via the shape invariant Int. J. Math. (IF 0.6) Pub Date : 2023-11-29 Dylan Cant
In this paper, we prove a contact non-squeezing result for a class of embeddings between starshaped domains in the contactization of the symplectization of the unit cotangent bundle of certain manifolds. The class of embeddings includes embeddings which are not isotopic to the identity. This yields a new proof that there is no positive loop of contactomorphisms in the unit cotangent bundles under consideration
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Some characterizations of the complex projective space via Ehrhart polynomials Int. J. Math. (IF 0.6) Pub Date : 2023-11-29 Andrea Loi, Fabio Zuddas
Let PλΣn be the Ehrhart polynomial associated to an integral multiple λ of the standard simplex Σn⊂ℝn. In this paper, we prove that if (M,L) is an n-dimensional polarized toric manifold with associated Delzant polytope Δ and Ehrhart polynomial PΔ such that PΔ=PλΣn, for some λ∈ℤ+, then (M,L)≅(ℂPn,O(λ)) (where O(1) is the hyperplane bundle on ℂPn) in the following three cases: (1) arbitrary n and λ=1
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An anisotropic area-preserving flow and its geometric application Int. J. Math. (IF 0.6) Pub Date : 2023-11-24 Yunlong Yang, Lina Liu
This paper centers its attention on an anisotropic area-preserving flow with the goal of establishing the existence of smooth solutions to the even, planar logarithmic Minkowski problem by the asymptotic behavior of this flow.
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On K-semistable domains — more examples Int. J. Math. (IF 0.6) Pub Date : 2023-11-23 Chuyu Zhou
We compute K-semistable domains for various examples of log pairs.
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Two nonlocal inverse curvature flows of convex closed plane curves Int. J. Math. (IF 0.6) Pub Date : 2023-11-21 Zezhen Sun
In this paper, we introduce two 1/κn-type (n≥1) curvature flows for closed convex planar curves. Along the flows the length of the curve is decreasing while the enclosed area is increasing. Finally, the evolving curves converge smoothly to a finite circle if they do not develop singularity during the evolution process.
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On the Cauchy problem of the two-component Novikov-type system with peaked solutions and H1-conservation law Int. J. Math. (IF 0.6) Pub Date : 2023-08-22 Haiquan Wang, Miaomiao Chen, Gezi Chong
Considered herein is the Cauchy problem for the two-component Novikov-type system with peaked solutions and H1-conservation law. At first, we establish that the solutions maintain corresponding properties at infinity within the lifespan provided that the initial data decay exponentially and algebraically, respectively. Next, the local regularity and analyticity of the solutions to this problem in Sobolev–Gevrey
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Algebraic dependences of meromorphic mappings from complete Kähler manifolds into projective spaces sharing few hyperplanes Int. J. Math. (IF 0.6) Pub Date : 2023-08-17 Duc Thoan Pham
In this paper, we give some results on the algebraic dependence of meromorphic mappings from a complete Kähler manifold whose universal covering is biholomorphic to a ball in ℂm into ℙn(ℂ) sharing few hyperplanes in subgeneral position with truncated multiplicities to level p, where all zeros with multiplicities greater than certain values do not need to be counted. Our results are generalizations
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Surjective morphisms from affine space to its Zariski open subsets Int. J. Math. (IF 0.6) Pub Date : 2023-08-12 Viktor Balch Barth
We prove constructively the existence of surjective morphisms from affine space onto certain open subvarieties of affine space of the same dimension. For any algebraic set Z⊂𝔸n−2⊂𝔸n, we construct an endomorphism of 𝔸n with 𝔸n∖Z as its image. By Noether’s normalization lemma, these results extend to give surjective maps from any n-dimensional affine variety X to 𝔸n∖Z.
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The infinite dihedral group and K3 surfaces with Picard number 2 Int. J. Math. (IF 0.6) Pub Date : 2023-08-11 Kwangwoo Lee
The automorphism group of a K3 surface with Picard number two is either the infinite cyclic group or the infinite dihedral group, if it is infinite. In this paper, we determine some conditions for a K3 surface of Picard number two to have the infinite dihedral automorphism group.
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Invariant means and multipliers on convolution quantum group algebras Int. J. Math. (IF 0.6) Pub Date : 2023-08-07 Ali Ebrahimzadeh Esfahani, Mehdi Nemati, Reza Esmailvandi
Let 𝔾 be a locally compact quantum group. Then the space T(L2(𝔾)) of trace class operators on L2(𝔾) is a Banach algebra with the convolution induced by the right fundamental unitary of 𝔾. We show that properties of 𝔾 such as amenability, triviality and compactness are equivalent to the existence of left or right invariant means on the convolution Banach algebra T(L2(𝔾)). We also investigate the
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The classification of smooth well-formed Fano weighted complete intersections Int. J. Math. (IF 0.6) Pub Date : 2023-07-29 Mikhail Ovcharenko
We show that the set of families of smooth well-formed Fano weighted complete intersections admits a natural partition with respect to the variance var(X)=coind(X)−codim(X). Moreover, we obtain the classification of smooth well-formed Fano weighted complete intersections of small variance. We also prove that the anticanonical linear system on a smooth well-formed Fano weighted complete intersection
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Endpoint regularity of discrete multilinear maximal and minimal operators Int. J. Math. (IF 0.6) Pub Date : 2023-07-29 Jing Li, Feng Liu
We introduce two discrete multilinear maximal and minimal operators associated to the function Φ, which cover the classical discrete multilinear maximal and minimal operators and their fractional variants. Under a more restrictive condition on Φ, we establish some new variation boundedness and continuity of the above operators, which is new and interesting even in the linear case. It should be pointed
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Some results on the comparison principle for the weighted log canonical thresholds Int. J. Math. (IF 0.6) Pub Date : 2023-07-28 Trinh Tung
The purpose of this paper is to establish some results on the comparison principle for the weighted log canonical thresholds of plurisubharmonic functions in case the weight is a measure of the form μ=∥z∥2tdV2n,t≥0 and μ=∥z∥2(k−n)dV2n with 1≤k≤n, where dV2n is the Lebesgue measure in ℂn.
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Poincaré metric of holomorphic foliations with non-degenerate singularities Int. J. Math. (IF 0.6) Pub Date : 2023-07-22 François Bacher
Consider a Brody hyperbolic foliation ℱ with non-degenerate singularities on a compact complex manifold. We show that its leafwise Poincaré metric is transversally Hölder continuous with a logarithmic slope towards the singular set of ℱ.
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Homological dimensions of analytic Ore extensions Int. J. Math. (IF 0.6) Pub Date : 2023-07-21 Petr Kosenko
If A is an algebra with finite right global dimension, then for any automorphism α and α-derivation δ the right global dimension of A[t;α,δ] satisfies rgldA≤rgldA[t;α,δ]≤rgldA+1. We extend this result to the case of holomorphic Ore extensions and smooth crossed products by ℤ of ⊗̂-algebras.
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Turaev–Viro invariants and cabling operations Int. J. Math. (IF 0.6) Pub Date : 2023-07-19 Sanjay Kumar, Joseph M. Melby
In this paper, we study the variation of the Turaev–Viro invariants for 3-manifolds with toroidal boundary under the operation of attaching a (p,q)-cable space. We apply our results to a conjecture of Chen and Yang which relates the asymptotics of the Turaev–Viro invariants to the simplicial volume of a compact oriented 3-manifold. For p and q coprime, we show that the Chen–Yang volume conjecture is
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Classification of ℚ-Fano 3-folds of Gorenstein index 2 via key varieties constructed from projective bundles Int. J. Math. (IF 0.6) Pub Date : 2023-07-17 Hiromichi Takagi
We classified prime ℚ-Fano 3-folds X with only 1/2(1,1,1)-singularities and with h0(−KX)≥4 a long time ago. The classification was undertaken by blowing up each X at one 1/2(1,1,1)-singularity and constructing a Sarkisov link. In this paper, revealing the geometries behind the Sarkisov link for X in one of 5 classes, we show that X can be embedded as a linear section into a bigger dimensional ℚ-Fano
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Rank of the Nijenhuis tensor on parallelizable almost complex manifolds Int. J. Math. (IF 0.6) Pub Date : 2023-07-17 Lorenzo Sillari, Adriano Tomassini
We study almost complex structures on parallelizable manifolds via the rank of their Nijenhuis tensor. First, we show how the computations of such rank can be reduced to finding smooth functions on the underlying manifold solving a system of first order PDEs. On specific manifolds, we find an explicit solution. Then we compute the Nijenhuis tensor on curves of almost complex structures, showing that
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Remarks on absolute continuity of positive operators Int. J. Math. (IF 0.6) Pub Date : 2023-07-10 Hideki Kosaki
Ando studied Lebesgue decomposition for (bounded) positive operators, where a notion known as the maximal absolutely continuous part plays a crucial role. Based on technique involving unbounded operators we study certain expressions for the maximal absolutely continuous part, Radon–Nikodym type results, behavior of the maximal absolutely continuous part under the tensor product operation and characterization
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Curvature-adapted submanifolds of semi-Riemannian groups Int. J. Math. (IF 0.6) Pub Date : 2023-07-08 Margarida Camarinha, Matteo Raffaelli
We study semi-Riemannian submanifolds of arbitrary codimension in a Lie group G equipped with a bi-invariant metric. In particular, we show that, if the normal bundle of M⊂G is closed under the Lie bracket, then any normal Jacobi operator K of M equals the square of the associated invariant shape operator α. This permits to understand curvature adaptedness to G geometrically, in terms of left translations
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A sharp characterization of the Willmore invariant Int. J. Math. (IF 0.6) Pub Date : 2023-07-08 Samuel Blitz
First introduced to describe surfaces embedded in ℝ3, the Willmore invariant is a conformally-invariant extrinsic scalar curvature of a surface that vanishes when the surface minimizes bending and stretching. Both this invariant and its higher-dimensional analogs appear frequently in the study of conformal geometric systems. To that end, we provide a characterization of the Willmore invariant in general
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On the Nash problem for terminal threefolds of type cA/r Int. J. Math. (IF 0.6) Pub Date : 2023-07-06 Hsin-Ku Chen
We study the Nash and essential valuations of terminal threefolds with type cA/r. If r=1 or the given threefold is ℚ-factorial, we can provide a complete description of all Nash and essential valuations. We also constructed counterexamples to the Nash problem for non-Gorenstein or non-ℚ-factorial threefolds.
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Compactness theorems for Yang–Mills–Higgs fields Int. J. Math. (IF 0.6) Pub Date : 2023-07-06 Guanxiang Wang
In this paper, we obtain compactness theorems for Yang–Mills–Higgs fields on vector bundle E over compact Riemannian manifold M, dimM>4, with general Higgs-like potential W:ℝ→[0,∞).
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Hermitian Calabi functional in complexified orbits Int. J. Math. (IF 0.6) Pub Date : 2023-06-29 Jie He, Kai Zheng
Let (M,ω) be a compact symplectic manifold. We denote by 𝒜𝒞ω the space of all almost complex structure compatible with ω. 𝒜𝒞ω has a natural foliation structure with the complexified orbit as leaf. We obtain an explicit formula of the Hessian of Hermitian Calabi functional at an extremal almost Kähler metric in 𝒜𝒞ω. We prove that the Hessian of Hermitian Calabi functional is semi-positive definite
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Boson–Fermion correspondence of the multi-component constrained mKP hierarchy Int. J. Math. (IF 0.6) Pub Date : 2023-06-29 Lixiang Zhang, Chuanzhong Li
We generalize the constrained modified KP (mKP) hierarchy to the multi-component version whose tau function can be expressed as the vacuum expectation value of Clifford operators using free fermions. Meanwhile, we extend the relevant theory of the Boson–Fermion correspondence in single component constrained mKP hierarchy to the multi-component version. This leads us to obtain the rational and soliton
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Existence of horizontal immersions in fat distributions Int. J. Math. (IF 0.6) Pub Date : 2023-06-23 Aritra Bhowmick, Mahuya Datta
Contact structures, as well as their holomorphic and quaternionic counterparts, are the primary examples of strongly bracket generating (or fat) distributions. In this paper, we associate a numerical invariant to corank-2 fat distribution on manifolds, referred to as the degree of the distribution. The real distribution underlying a holomorphic contact structure is of degree 2. Using Gromov’s sheaf
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C*-algebras generated by multiplication operators and composition operators by functions with self-similar branches Int. J. Math. (IF 0.6) Pub Date : 2023-06-19 Hiroyasu Hamada
Let K be a compact metric space and let φ:K→K be continuous. We study a C*-algebra ℳ𝒞φ generated by all multiplication operators by continuous functions on K and a composition operator Cφ induced by φ on a certain L2 space. Let γ=(γ1,…,γn) be a system of proper contractions on K. Suppose that γ1,…,γn are inverse branches of φ and K is self-similar. We consider the Hutchinson measure μH of γ and the
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Quantization of symplectic fibrations and canonical metrics Int. J. Math. (IF 0.6) Pub Date : 2023-06-16 Louis Ioos, Leonid Polterovich
We relate Berezin–Toeplitz quantization of higher rank vector bundles to quantum-classical hybrid systems and quantization in stages of symplectic fibrations. We apply this picture to the analysis and geometry of vector bundles, including the spectral gap of the Berezin transform and the convergence rate of Donaldson’s iterations toward balanced metrics on stable vector bundles. We also establish refined
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ℤ-local system cohomology of hyperplane arrangements and a Cohen–Dimca–Orlik type theorem Int. J. Math. (IF 0.6) Pub Date : 2023-06-15 Sakumi Sugawara
Local system cohomology groups of the complements of hyperplane arrangements have played an important role in the theory of hypergeometric integrals, the topology of Milnor fibers and covering spaces. One of the important theorems is the vanishing theorem for generic ℂ-local systems which goes back to Aomoto’s work. Later, Cohen, Dimca, and Orlik proved a stronger version of the vanishing theorem.
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Green’s function for solving initial-boundary value problem of evolutionary partial differential equations Int. J. Math. (IF 0.6) Pub Date : 2023-06-15 Jin-Cheng Jiang, Hung-Wen Kuo, Meng-Hao Liang
We propose a new method to solve the initial-boundary value problem for hyperbolic-dissipative partial differential equations (PDEs) based on the spirit of LY algorithm [T.-P. Liu and S.-H. Yu, Dirichlet–Neumann kernel for hyperbolic-dissipative system in half-space, Bull. Inst. Math. Acad. Sin. 7 (2012) 477–543]. The new method can handle more general domains than that of LYs’. We convert the evolutionary
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Description of GL3-orbits on the quadruple projective spaces Int. J. Math. (IF 0.6) Pub Date : 2023-06-09 Naoya Shimamoto
This paper gives a description of the diagonal GL3-orbits on the quadruple projective space (ℙ2)4. We give explicit representatives of orbits, and describe the closure relations of orbits. A distinguished feature of our setting is that it is the simplest case, where diag(GLn) has infinitely many orbits but has also an open orbit in the multiple projective space (ℙn−1)m.
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A note on attracting domains for holomorphic maps in ℂ2 tangent to the identity Int. J. Math. (IF 0.6) Pub Date : 2023-06-09 Feng Rong
In this paper, we give sufficient conditions for the existence of attracting domains tangent to degenerate Fuchsian characteristic directions of holomorphic maps in ℂ2 tangent to the identity.
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Biquandle arrow weight enhancements Int. J. Math. (IF 0.6) Pub Date : 2023-06-08 Sam Nelson, Migiwa Sakurai
We introduce a new infinite family of enhancements of the biquandle homset invariant called biquandle arrow weights. These invariants assign weights in an abelian group to intersections of arrows in a Gauss diagram representing a classical or virtual knot depending on the biquandle colors associated to the arrows. We provide examples to show that the enhancements are nontrivial and proper, i.e. not
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Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds Int. J. Math. (IF 0.6) Pub Date : 2023-05-23 Daguang Chen, Haizhong Li, Yilun Wei
In this paper, by using Schwarz rearrangement and isoperimetric inequalities, we prove comparison results for the solutions of Poisson equations on complete Riemannian manifolds with Ric≥(n−1)κ, κ=0 or 1, which extends the results in [A. Alvino, C. Nitsch and C. Trombetti, A Talenti comparison result for solutions to elliptic problems with Robin boundary conditions, Comm. Pure Appl. Math. 76(3) (2023)
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Forest-skein groups II: Construction from homogeneously presented monoids Int. J. Math. (IF 0.6) Pub Date : 2023-05-20 Arnaud Brothier
Inspired by the reconstruction program of conformal field theories of Vaughan Jones we recently introduced a vast class of the so-called forest-skein groups. They are built from a skein presentation: a set of colors and a set of pairs of colored trees. Each nice skein presentation produces four groups similar to Richard Thompson’s group F,T,V and the braided version BV of Brin and Dehornoy. In this
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Moduli of vector bundles on primitive multiple schemes Int. J. Math. (IF 0.6) Pub Date : 2023-05-17 Jean-Marc Drézet
A primitive multiple scheme is a Cohen–Macaulay scheme Y such that the associated reduced scheme X = Yred is smooth, irreducible, and that Y can be locally embedded in a smooth variety of dimension dim(X)+1. If n is the multiplicity of Y, there is a canonical filtration X=X1⊂X2⊂⋯⊂Xn=Y, such that Xi is a primitive multiple scheme of multiplicity i. The simplest example is the trivial primitive multiple
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Ricci–Bourguignon solitons on real hypersurfaces in the complex hyperbolic space Int. J. Math. (IF 0.6) Pub Date : 2023-05-17 Young Jin Suh
In this paper, we give a complete classification of Ricci–Bourguignon soliton on real hypersurfaces in the complex hyperbolic space ℂHn=SU1,n/S(U1Un). Next, as an application, we give a complete classification of gradient Ricci–Bourguignon soliton on Hopf real hypersurfaces in the complex hyperbolic space ℂHn.
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Expanders on matrices over a finite chain ring, I Int. J. Math. (IF 0.6) Pub Date : 2023-05-15 Dung M. Ha, Hieu T. Ngo
In this work and its sequel, we study the expanding phenomenon of matrices over a finite chain ring of large residue field. A sum-product estimate is proved. It is shown that x+yz is a moderate expander on n×n matrices with exponent n+16. These results generalize the main theorems in the recent work [29] of Xie and Ge. The proofs use spectral graph theory and elementary divisor theory.