The Jordan property for local fundamental groups

被引：3

作者：

Braun, Lukas ^{[1
]}

Filipazzi, Stefano ^{[2
]}

Moraga, Joaquin ^{[3
]}

Svaldi, Roberto ^{[2
]}

机构：

[1] Albert Ludwigs Univ Freiburg, Math Inst, Freiburg, Germany

[2] Ecole Polytech Fed Lausanne, Inst Math, Lausanne, Switzerland

[3] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

GEOMETRY & TOPOLOGY | 2022年 / 26卷 / 01期

基金：

欧盟地平线“2020”;

关键词：

COMPLEX; SINGULARITIES; FINITENESS;

D O I：

10.2140/gt.2022.26.283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show the Jordan property for regional fundamental groups of klt singularities of fixed dimension. Furthermore, we prove the existence of effective simultaneous index 1 covers for n-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.

引用

页码：283 / 319

页数：37

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