Computing Chow rings of twisted flag varieties for subgroups of an algebraic group

Nobuaki Yagita

paper

Computing Chow rings of twisted flag varieties for subgroups of an algebraic group

arXiv:2209.04897

Abstract

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 $C H^{*} (F)$ for various $F$ over some extension fields $K$ of $k$ .

arXiv comment10 pages