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 $S$.

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

References in corpus (3)

• Finiteness of étale fundamental groups by reduction modulo $p$
• Resolution and alteration with ample exceptional divisor
• Étale Covers and Local Algebraic Fundamental Groups