Gromov-Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II

Gang Liu; Gábor Szekelyhidi

doi:10.1002/cpa.21900

Gromov-Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II

Gang Liu^*
, Gábor Szekelyhidi

^*此作品的通讯作者

数学科学学院

University of Notre Dame

科研成果: 期刊稿件 › 文章 › 同行评审

16 引用（Scopus）

摘要

We study noncollapsed Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered noncollapsed limits of polarized Kähler manifolds with two-sided Ricci curvature bounds.

源语言	英语
页（从-至）	909-931
页数	23
期刊	Communications on Pure and Applied Mathematics
卷	74
期	5
DOI	https://doi.org/10.1002/cpa.21900
出版状态	已出版 - 5月 2021

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10.1002/cpa.21900

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abstract = "We study noncollapsed Gromov-Hausdorff limits of K{\"a}hler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered noncollapsed limits of polarized K{\"a}hler manifolds with two-sided Ricci curvature bounds.",

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N2 - We study noncollapsed Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered noncollapsed limits of polarized Kähler manifolds with two-sided Ricci curvature bounds.

AB - We study noncollapsed Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below. Our main result is that each tangent cone is homeomorphic to a normal affine variety. This extends a result of Donaldson-Sun, who considered noncollapsed limits of polarized Kähler manifolds with two-sided Ricci curvature bounds.

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U2 - 10.1002/cpa.21900

DO - 10.1002/cpa.21900

M3 - 文章

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JO - Communications on Pure and Applied Mathematics

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Gromov-Hausdorff Limits of Kähler Manifolds with Ricci Curvature Bounded Below II

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