English

The Jordan property for local fundamental groups

Algebraic Geometry 2022-04-20 v2

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 nn-dimensional klt singularities. We give an application to the study of local class groups of klt singularities.

Keywords

Cite

@article{arxiv.2006.01253,
  title  = {The Jordan property for local fundamental groups},
  author = {Lukas Braun and Stefano Filipazzi and Joaquín Moraga and Roberto Svaldi},
  journal= {arXiv preprint arXiv:2006.01253},
  year   = {2022}
}

Comments

Comments are welcome. v2: final accepted version. To appear in Geometry & Topology. Only minor changes, corrected typos, updated bibliography. 24 pages; v1: 24 pages

R2 v1 2026-06-23T15:58:34.774Z