|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
The
Jordan property for local fundamental groups
Lukas Braun, Stefano Filipazzi, Joaquín Moraga and Roberto Svaldi |
|
Geometry & Topology 26 (2022) 283–319
|
|
DOI: 10.2140/gt.2022.26.283
|
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 covers for –dimensional klt singularities. We give an application to the study of local class groups of klt singularities. |
Keywords
Local fundamental group, klt singularities, Jordan property
|
Mathematical Subject Classification
Primary: 14B05, 14E20, 14F35
Secondary: 14E30
|
References |
Publication
Received: 24 June 2020
Revised: 30 December 2020
Accepted: 9 February 2021
Published: 5 April 2022
Proposed: Dan Abramovich
Seconded: Mark Gross, Richard P Thomas
|
Authors |
| Lukas Braun | |
| Mathematisches Institut Albert-Ludwigs-Universität Freiburg Freiburg im Breisgau Germany |
|
| http://home.mathematik.uni-freiburg.de/braun/ | |
| Stefano Filipazzi | |
| Institute of Mathematics EPFL Lausanne Switzerland |
|
| https://sma.epfl.ch/~filipazz/ | |
| Joaquín Moraga | |
| Department of Mathematics Princeton University Princeton, NJ United States |
|
| https://web.math.princeton.edu/~jmoraga/ | |
| Roberto Svaldi | |
| Institute of Mathematics EPFL Lausanne Switzerland |
|
| http://sma.epfl.ch/~svaldi/ | |
