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Geometric and Functional Analysis最新文献

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Joints of Varieties 品种接头
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-04-01 DOI: 10.1007/s00039-022-00597-5
Jonathan Tidor, H. Yu, Yufei Zhao
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引用次数: 3
Bourgain’s slicing problem and KLS isoperimetry up to polylog 布尔甘的切片问题与KLS等视法直至多元曲线
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-29 DOI: 10.1007/s00039-022-00612-9
B. Klartag, J. Lehec
{"title":"Bourgain’s slicing problem and KLS isoperimetry up to polylog","authors":"B. Klartag, J. Lehec","doi":"10.1007/s00039-022-00612-9","DOIUrl":"https://doi.org/10.1007/s00039-022-00612-9","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48594183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 51
Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below Ricci曲率有界以下的Kähler流形的Gromov-Hausdorff极限
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-28 DOI: 10.1007/s00039-022-00594-8
Gang Liu, Gábor Székelyhidi
{"title":"Gromov–Hausdorff limits of Kähler manifolds with Ricci curvature bounded below","authors":"Gang Liu, Gábor Székelyhidi","doi":"10.1007/s00039-022-00594-8","DOIUrl":"https://doi.org/10.1007/s00039-022-00594-8","url":null,"abstract":"<p>We show that non-collapsed Gromov–Hausdorff limits of polarized Kähler manifolds, with Ricci curvature bounded below, are normal projective varieties, and the metric singularities of the limit space are precisely given by a countable union of analytic subvarieties. This extends a fundamental result of Donaldson–Sun, in which 2-sided Ricci curvature bounds were assumed. As a basic ingredient we show that, under lower Ricci curvature bounds, almost Euclidean balls in Kähler manifolds admit good holomorphic coordinates. Further applications are integral bounds for the scalar curvature on balls, and a rigidity theorem for Kähler manifolds with almost Euclidean volume growth.</p>","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138516613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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
Functionals with extrema at reproducing kernels 具有再生核极值的泛函
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-23 DOI: 10.1007/s00039-022-00608-5
A. Kulikov
{"title":"Functionals with extrema at reproducing kernels","authors":"A. Kulikov","doi":"10.1007/s00039-022-00608-5","DOIUrl":"https://doi.org/10.1007/s00039-022-00608-5","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41623094","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 19
Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-17 DOI: 10.1007/s00039-022-00595-7
Yunhui Wu, Yuhao Xue
{"title":"Random hyperbolic surfaces of large genus have first eigenvalues greater than 316-ϵdocumentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begi","authors":"Yunhui Wu, Yuhao Xue","doi":"10.1007/s00039-022-00595-7","DOIUrl":"https://doi.org/10.1007/s00039-022-00595-7","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51866560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 12
The Patterson–Sullivan Reconstruction of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces 复双曲空间上行列式点过程的多谐函数的Patterson-Sullivan重构
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-03-15 DOI: 10.1007/s00039-022-00592-w
A. Bufetov, Yanqi Qiu
{"title":"The Patterson–Sullivan Reconstruction of Pluriharmonic Functions for Determinantal Point Processes on Complex Hyperbolic Spaces","authors":"A. Bufetov, Yanqi Qiu","doi":"10.1007/s00039-022-00592-w","DOIUrl":"https://doi.org/10.1007/s00039-022-00592-w","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48310365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
The Branched Deformations of the Special Lagrangian Submanifolds 特殊拉格朗日子流形的分支变形
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-02-24 DOI: 10.1007/s00039-023-00645-8
Siqi He
{"title":"The Branched Deformations of the Special Lagrangian Submanifolds","authors":"Siqi He","doi":"10.1007/s00039-023-00645-8","DOIUrl":"https://doi.org/10.1007/s00039-023-00645-8","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45061663","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies 从平移不变值的调和分析到凸体几何不等式
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-02-21 DOI: 10.1007/s00039-023-00630-1
Jan Kotrbat'y, Thomas Wannerer
{"title":"From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies","authors":"Jan Kotrbat'y, Thomas Wannerer","doi":"10.1007/s00039-023-00630-1","DOIUrl":"https://doi.org/10.1007/s00039-023-00630-1","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47447938","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 5
On the random Chowla conjecture 关于随机Chowla猜想
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-02-17 DOI: 10.1007/s00039-023-00641-y
O. Klurman, I. Shkredov, M. Xu
{"title":"On the random Chowla conjecture","authors":"O. Klurman, I. Shkredov, M. Xu","doi":"10.1007/s00039-023-00641-y","DOIUrl":"https://doi.org/10.1007/s00039-023-00641-y","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42545771","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 10
On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps Kleinian反射群与反全纯有理映射的变形空间类比
IF 2.2 1区 数学
Geometric and Functional Analysis Pub Date : 2022-02-07 DOI: 10.1007/s00039-022-00621-8
Russell Lodge, Yusheng Luo, S. Mukherjee
{"title":"On deformation space analogies between Kleinian reflection groups and antiholomorphic rational maps","authors":"Russell Lodge, Yusheng Luo, S. Mukherjee","doi":"10.1007/s00039-022-00621-8","DOIUrl":"https://doi.org/10.1007/s00039-022-00621-8","url":null,"abstract":"","PeriodicalId":12478,"journal":{"name":"Geometric and Functional Analysis","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2022-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46469519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 1
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