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

2022/09/11 by Nobuaki Yagita, Yagita, Nobuaki
Computer Science · Mathematics · #14C15 #20G10 #55N20 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2209.04897

openalex publication_date 2022/09/11 · openalex created_date 2022/09/14 · openalex updated_date 2026/07/28

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 CH^*(F) for various F over some extension fields K of k.

Related

• Chow rings of versal complete flag varieties
• Motivic decompositions of twisted flag varieties and representations of\n Hecke-type algebras
• The Chow rings of the algebraic groups E₆, E₇, and E₈
• Algebraic cobordism and flag varieties
• Pushforward of Siegel flag varieties in the Chow ring