The Jordan property for local fundamental groups

Lukas Braun; Stefano Filipazzi; Joaquín Moraga; Roberto Svaldi

doi:10.2140/gt.2022.26.283

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2022 The Jordan property for local fundamental groups

Lukas Braun, Stefano Filipazzi, Joaquín Moraga, Roberto Svaldi

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.

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Lukas Braun. Stefano Filipazzi. Joaquín Moraga. Roberto Svaldi. "The Jordan property for local fundamental groups." Geom. Topol. 26 (1) 283 - 319, 2022. https://doi.org/10.2140/gt.2022.26.283

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Received: 24 June 2020; Revised: 30 December 2020; Accepted: 9 February 2021; Published: 2022

First available in Project Euclid: 9 May 2022

Digital Object Identifier: 10.2140/gt.2022.26.283

Subjects:

Primary: 14B05 , 14E20 , 14F35

Secondary: 14E30

Keywords: Jordan property , KLT singularities , Local fundamental group

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