发布求助
文献互助 智能选刊 最新文献

International Mathematics Research Notices最新文献

筛选
英文 中文
Basic Remarks on Lagrangian Submanifolds of Hyperkähler Manifolds 关于超卡勒曼体的拉格朗日子曼体的基本注释
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-22 DOI: 10.1093/imrn/rnae070
Ren'e Mboro
{"title":"Basic Remarks on Lagrangian Submanifolds of Hyperkähler Manifolds","authors":"Ren'e Mboro","doi":"10.1093/imrn/rnae070","DOIUrl":"https://doi.org/10.1093/imrn/rnae070","url":null,"abstract":"\u0000 This note presents basic restrictions on the topology of Lagrangian surfaces of hyper-Kähler $4$-folds and a remark on the interaction of a Lagrangian subvariety of a hyper-Kähler variety with a Lagrangian fibration of the latter.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140672427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the    ∂—-Equation with L2 Estimates on Singular Complex Spaces 关于奇异复数空间上带有 L2 估计数的∂--方程
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-22 DOI: 10.1093/imrn/rnae076
Zhenqian Li, Zhi Li, Xiangyu Zhou
{"title":"On the    ∂—-Equation with L2 Estimates on Singular Complex Spaces","authors":"Zhenqian Li, Zhi Li, Xiangyu Zhou","doi":"10.1093/imrn/rnae076","DOIUrl":"https://doi.org/10.1093/imrn/rnae076","url":null,"abstract":"\u0000 In this paper, we present the unsolvability of $overline partial $-equation with weighted $L^{2}$ estimates involved curvature terms on any singular normal complex space in general. Moreover, in the non-normal case, we also give a complete description on $L^{2}$-solvability of the $overline partial $-equation with weighted $L^{2}$ estimates for plane curve singularities and their variants in the higher dimension.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140672585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Facial Order for Torsion Classes 扭转类的面阶
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-22 DOI: 10.1093/imrn/rnae078
Eric J Hanson
{"title":"A Facial Order for Torsion Classes","authors":"Eric J Hanson","doi":"10.1093/imrn/rnae078","DOIUrl":"https://doi.org/10.1093/imrn/rnae078","url":null,"abstract":"We generalize the “facial weak order” of a finite Coxeter group to a partial order on a set of intervals in a complete lattice. We apply our construction to the lattice of torsion classes of a finite-dimensional algebra and consider its restriction to intervals coming from stability conditions. We give two additional interpretations of the resulting “facial semistable order”: one using cover relations, and one using Bongartz completions of 2-term presilting objects. For $tau $-tilting finite algebras, this allows us to prove that the facial semistable order is a semidistributive lattice. We then show that, in any abelian length category, our new partial order can be partitioned into a set of completely semidistributive lattices, one of which is the original lattice of torsion classes.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140804372","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Surfaces of General Type with Maximal Picard Number Near the Noether Line 具有诺特线附近最大皮卡数的一般类型曲面
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-22 DOI: 10.1093/imrn/rnae075
Nguyen Bin, Vicente Lorenzo
{"title":"Surfaces of General Type with Maximal Picard Number Near the Noether Line","authors":"Nguyen Bin, Vicente Lorenzo","doi":"10.1093/imrn/rnae075","DOIUrl":"https://doi.org/10.1093/imrn/rnae075","url":null,"abstract":"The first published non-trivial examples of algebraic surfaces of general type with maximal Picard number are due to Persson, who constructed surfaces with maximal Picard number on the Noether line $K^{2}=2chi -6$ for every admissible pair $(K^{2},chi )$ such that $chi not equiv 0 text {mod} 6$. In this note, given a non-negative integer $k$, algebraic surfaces of general type with maximal Picard number lying on the line $K^{2}=2chi -6+k$ are constructed for every admissible pair $(K^{2},chi )$ such that $chi geq 2k+10$. These constructions, obtained as bidouble covers of rational surfaces, not only allow to fill in Persson’s gap on the Noether line, but also provide infinitely many new examples of algebraic surfaces of general type with maximal Picard number above the Noether line.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140804361","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Chow Rings of Quiver Moduli 论震颤模的周环
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-19 DOI: 10.1093/imrn/rnad306
Pieter Belmans, Hans Franzen
{"title":"On Chow Rings of Quiver Moduli","authors":"Pieter Belmans, Hans Franzen","doi":"10.1093/imrn/rnad306","DOIUrl":"https://doi.org/10.1093/imrn/rnad306","url":null,"abstract":"We describe the point class and Todd class in the Chow ring of a moduli space of quiver representations, building on a result of Ellingsrud–Strømme. This, together with the presentation of the Chow ring by the second author, makes it possible to compute integrals on quiver moduli. To do so, we construct a canonical morphism of universal representations in great generality, and along the way point out its relation to the Kodaira–Spencer morphism. We illustrate the results by computing some invariants of some “small” Kronecker moduli spaces. We also prove that the first non-trivial (6-dimensional) Kronecker moduli space is isomorphic to the zero locus of a general section of $mathcal{Q}^{vee }(1)$ on $textrm{Gr}(2,8)$.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140623212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Transitive Centralizer and Fibered Partially Hyperbolic Systems 传递中心器和纤维部分双曲系统
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-18 DOI: 10.1093/imrn/rnae064
Danijela Damjanović, Amie Wilkinson, Disheng Xu
{"title":"Transitive Centralizer and Fibered Partially Hyperbolic Systems","authors":"Danijela Damjanović, Amie Wilkinson, Disheng Xu","doi":"10.1093/imrn/rnae064","DOIUrl":"https://doi.org/10.1093/imrn/rnae064","url":null,"abstract":"We prove several rigidity results about the centralizer of a smooth diffeomorphism, concentrating on two families of examples: diffeomorphisms with transitive centralizer, and perturbations of isometric extensions of Anosov diffeomorphisms of nilmanifolds. We classify all smooth diffeomorphisms with transitive centralizer: they are exactly the maps that preserve a principal fiber bundle structure, acting minimally on the fibers and trivially on the base. We also show that for any smooth, accessible isometric extension $f_{0}colon Mto M$ of an Anosov diffeomorphism of a nilmanifold, subject to a spectral bunching condition, any $fin textrm{Diff}^{infty }(M)$ sufficiently $C^{1}$-close to $f_{0}$ has centralizer a Lie group. If the dimension of this Lie group equals the dimension of the fiber, then $f$ is a principal fiber bundle morphism covering an Anosov diffeomorphism. Using the results of this paper, we classify the centralizer of any partially hyperbolic diffeomorphism of a $3$-dimensional, nontoral nilmanifold: either the centralizer is virtually trivial, or the diffeomorphism is an isometric extension of an Anosov diffeomorphism, and the centralizer is virtually ${{mathbb{Z}}}times{{mathbb{T}}}$.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140628726","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Duality in the Directed Landscape and Its Applications to Fractal Geometry 有向景观中的对偶性及其在分形几何中的应用
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-08 DOI: 10.1093/imrn/rnae051
Manan Bhatia
{"title":"Duality in the Directed Landscape and Its Applications to Fractal Geometry","authors":"Manan Bhatia","doi":"10.1093/imrn/rnae051","DOIUrl":"https://doi.org/10.1093/imrn/rnae051","url":null,"abstract":"Geodesic coalescence, or the tendency of geodesics to merge together, is a hallmark phenomenon observed in a variety of planar random geometries involving a random distortion of the Euclidean metric. As a result of this, the union of interiors of all geodesics going to a fixed point tends to form a tree-like structure that is supported on a vanishing fraction of the space. Such geodesic trees exhibit intricate fractal behaviour; for instance, while almost every point in the space has only one geodesic going to the fixed point, there exist atypical points that admit two such geodesics. In this paper, we consider the directed landscape, the recently constructed [ 18] scaling limit of exponential last passage percolation (LPP), with the aim of developing tools to analyse the fractal aspects of the tree of semi-infinite geodesics in a given direction. We use the duality [ 39] between the geodesic tree and the interleaving competition interfaces in exponential LPP to obtain a duality between the geodesic tree and the corresponding dual tree in the landscape. Using this, we show that problems concerning the fractal behaviour of sets of atypical points for the geodesic tree can be transformed into corresponding problems for the dual tree, which might turn out to be easier. In particular, we use this method to show that the set of points admitting two semi-infinite geodesics in a fixed direction a.s. has Hausdorff dimension $4/3$, thereby answering a question posed in [ 12]. We also show that the set of points admitting three semi-infinite geodesics in a fixed direction is a.s. countable.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation 重复微分下 R 对角元素和随机多项式的分数自由卷积
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-08 DOI: 10.1093/imrn/rnae062
Andrew Campbell, Sean O’Rourke, David Renfrew
{"title":"The fractional free convolution of R-diagonal elements and random polynomials under repeated differentiation","authors":"Andrew Campbell, Sean O’Rourke, David Renfrew","doi":"10.1093/imrn/rnae062","DOIUrl":"https://doi.org/10.1093/imrn/rnae062","url":null,"abstract":"We extend the free convolution of Brown measures of $R$-diagonal elements introduced by Kösters and Tikhomirov [ 28] to fractional powers. We then show how this fractional free convolution arises naturally when studying the roots of random polynomials with independent coefficients under repeated differentiation. When the proportion of derivatives to the degree approaches one, we establish central limit theorem-type behavior and discuss stable distributions.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140602694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Joint Moments of Higher Order Derivatives of CUE Characteristic Polynomials I: Asymptotic Formulae CUE 特征多项式高阶导数的联合矩 I：渐近公式
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-06 DOI: 10.1093/imrn/rnae063
Jonathan P Keating, Fei Wei
{"title":"Joint Moments of Higher Order Derivatives of CUE Characteristic Polynomials I: Asymptotic Formulae","authors":"Jonathan P Keating, Fei Wei","doi":"10.1093/imrn/rnae063","DOIUrl":"https://doi.org/10.1093/imrn/rnae063","url":null,"abstract":"We derive explicit asymptotic formulae for the joint moments of the $n_{1}$-th and $n_{2}$-th derivatives of the characteristic polynomials of Circular Unitary Ensemble random matrices for any non-negative integers $n_{1}, n_{2}$. These formulae are expressed in terms of determinants whose entries involve modified Bessel functions of the first kind. We also express them in terms of two types of combinatorial sums. Similar results are obtained for the analogue of Hardy’s $Z$-function. We use these formulae to formulate general conjectures for the joint moments of the $n_{1}$-th and $n_{2}$-th derivatives of the Riemann zeta-function and of Hardy’s $Z$-function. Our conjectures are supported by comparison with results obtained previously in the number theory literature.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Slope Boundedness and Equidistribution Theorem 斜率有界性和等分布定理
IF 1 2区 数学
International Mathematics Research Notices Pub Date : 2024-04-05 DOI: 10.1093/imrn/rnae057
Wenbin Luo
{"title":"Slope Boundedness and Equidistribution Theorem","authors":"Wenbin Luo","doi":"10.1093/imrn/rnae057","DOIUrl":"https://doi.org/10.1093/imrn/rnae057","url":null,"abstract":"In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic $0$. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of $chi $-volumes over function fields.","PeriodicalId":14461,"journal":{"name":"International Mathematics Research Notices","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140575672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信