Fundamental Group Schemes of Generalized Kummer Variety

Abstract

Let $k$ be an algebraically closed field of characteristic $p>3$. Let $A$ be an abelian surface over $k$. Fix an integer $n\ge 1$ 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 $K^{[n]}$.

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