ON GENERIC FLAG VARIETIES FOR ODD SPIN GROUPS

被引：4

作者：

Karpenko, Nikita A. ^{[1
]}

机构：

[1] Univ Alberta, Math & Stat Sci, Edmonton, AB, Canada

来源：

PUBLICACIONS MATEMATIQUES | 2023年 / 67卷 / 02期

关键词：

quadratic forms over fields; algebraic groups; spin groups; torsors; clas-sifying spaces; Chow groups; DIMENSION;

D O I：

10.5565/PUBLMAT6722310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the spin group G = Spin(2n+1) with arbitrary n, a generic G-torsor E over a field, and a parabolic subgroup P ? G, we consider the generic flag variety E/P and describe its Chow ring modulo torsion. This description determines the index of E/P, completing results of [3], where the index has been determined for most P.

引用

页码：743 / 756

页数：14

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