English

On the local \'etale fundamental group of KLT threefold singularities

Algebraic Geometry 2025-03-31 v3

Abstract

Let SS be KLT threefold singularity over an algebraically closed field of positive characteristic p>5p>5. We prove that its local \'etale fundamental group is tame and finite. Further, we show that every finite unipotent torsor over a big open of SS is realized as the restriction of a finite unipotent torsor over SS.

Keywords

Cite

@article{arxiv.2004.07628,
  title  = {On the local \'etale fundamental group of KLT threefold singularities},
  author = {Javier Carvajal-Rojas and Axel Stäbler and János Kollár},
  journal= {arXiv preprint arXiv:2004.07628},
  year   = {2025}
}

Comments

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