Fundamental Group Schemes of Generalized Kummer Variety

Parvez Rasul

Fundamental Group Schemes of Generalized Kummer Variety

Algebraic Geometry 2022-08-18 v1

Authors: Parvez Rasul

Abstract

Let $k$ be an algebraically closed field of characteristic $p > 3$ . Let $A$ be an abelian surface over $k$ . Fix an integer $n \geq 1$ such that $p \nmid n$ and let $K^{[n]}$ be the $n$ -th Generalized Kummer Variety associated to $A$ . In this article we aim to find the $S$ -fundamental group scheme and Nori's fundamental group scheme of $K^{[n]}$ .

Keywords

S-fundamental group scheme Nori fundamental group scheme generalized Kummer variety abelian surface algebraically closed field

Cite

@article{arxiv.2208.07946,
  title  = {Fundamental Group Schemes of Generalized Kummer Variety},
  author = {Parvez Rasul},
  journal= {arXiv preprint arXiv:2208.07946},
  year   = {2022}
}

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