论文标题
计算代数组亚组的扭曲国旗品种的食物环
Computing Chow rings of twisted flag varieties for subgroups of an algebraic group
论文作者
论文摘要
令$ g_k $为$ k $的分裂代数集团。给定一个非平凡的$ g_k $ -torsor $ g $,我们考虑(扭曲的)标志品种$ f = g/b_k $,用于borel子组$ b_k $,其中包含$ g_k $。 本文的目的是研究如何计算某些扩展字段$ k $ $ k $的各种$ f $ $ ch^*(f)$。
Let $G_k$ be a split algebraic group over $k$. Given a non-trivial $G_k$-torsor $G$, we consider the (twisted) flag variety $F=G/B_k$ for the Borel subgroup $B_k$ containing in $G_k$. The purpose of this paper is the study how to compute the Chow rings $CH^*(F)$ for various $F$ over some extension fields $K$ of $k$.