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The Jordan property for local fundamental groups

Research paper by Lukas Braun, Stefano Filipazzi, Joaquín Moraga, Roberto Svaldi

Indexed on: 03 Jun '20Published on: 01 Jun '20Published in: arXiv - Mathematics - Algebraic Geometry



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 one covers for $n$-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.