On the local étale fundamental group of KLT threefold singularities

Fuente: arXiv
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Main Authors: Carvajal-Rojas, Javier, Stäbler, Axel, Kollár, János
Format: Preprint
Published: 2020
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author Carvajal-Rojas, Javier
Stäbler, Axel
Kollár, János
author_facet Carvajal-Rojas, Javier
Stäbler, Axel
Kollár, János
contents Let $S$ be KLT threefold singularity over an algebraically closed field of positive characteristic $p>5$. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open of $S$ is realized as the restriction of a finite unipotent torsor over $S$.
format Preprint
id arxiv_https___arxiv_org_abs_2004_07628
institution arXiv
publishDate 2020
record_format arxiv
spellingShingle On the local étale fundamental group of KLT threefold singularities
Carvajal-Rojas, Javier
Stäbler, Axel
Kollár, János
Algebraic Geometry
14E30, 14B05, 13A35, 14E20
Let $S$ be KLT threefold singularity over an algebraically closed field of positive characteristic $p>5$. We prove that its local étale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open of $S$ is realized as the restriction of a finite unipotent torsor over $S$.
title On the local étale fundamental group of KLT threefold singularities
topic Algebraic Geometry
14E30, 14B05, 13A35, 14E20
url https://arxiv.org/abs/2004.07628