论文标题
广义kummer品种的基本小组方案
Fundamental Group Schemes of Generalized Kummer Variety
论文作者
论文摘要
令$ k $为特征$ p> 3 $的代数封闭场。让$ a $为$ k $的亚伯表面。修复整数$ n \ geq 1 $,以便$ p \ nmid n $,让$ k^{[n]} $为$ n $ th $ n $ th gentrized Kummer品种与$ a $相关的概括。在本文中,我们旨在找到$ k^{[n]} $的$ s $ fundaMental Group Scheme和Nori的基本组方案。
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 $K^{[n]}$.