The Jordan property for local fundamental groups

Lukas Braun; Stefano Filipazzi; Joaquín Moraga; Roberto Svaldi

doi:10.2140/gt.2022.26.283

The Jordan property for local fundamental groups

Lukas Braun, Stefano Filipazzi, Joaquín Moraga, Roberto Svaldi

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	283-319
Number of pages	37
Journal	Geometry and Topology
Volume	26
Issue number	1
DOIs	https://doi.org/10.2140/gt.2022.26.283
State	Published - 2022

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2022.26.283

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title = "The Jordan property for local fundamental groups",

abstract = "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.",

author = "Lukas Braun and Stefano Filipazzi and Joaqu{\'i}n Moraga and Roberto Svaldi",

year = "2022",

doi = "10.2140/gt.2022.26.283",

language = "English (US)",

volume = "26",

pages = "283--319",

journal = "Geometry and Topology",

issn = "1465-3060",

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AU - Braun, Lukas

AU - Filipazzi, Stefano

AU - Moraga, Joaquín

AU - Svaldi, Roberto

PY - 2022

Y1 - 2022

N2 - 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.

AB - 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.

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U2 - 10.2140/gt.2022.26.283

DO - 10.2140/gt.2022.26.283

M3 - Article

AN - SCOPUS:85131122885

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VL - 26

SP - 283

EP - 319

JO - Geometry and Topology

JF - Geometry and Topology

IS - 1

ER -

The Jordan property for local fundamental groups

Abstract

All Science Journal Classification (ASJC) codes

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