On the local étale fundamental group of KLT threefold singularities

Abstract

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 $S$.

arXiv comment34 pages, comments are welcome! General updates and corrections, including those from referees. Accepted at the Algebraic Geometry journal

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