Formulas for the unramified Brauer group of a principal homogeneous space of a linear algebraic group

被引：15

作者：

Borovoi, M ^{[1
]}

Kunyavskii, B

机构：

[1] Tel Aviv Univ, Raymond & Beverly Sackler Fac Exact Sci, IL-69978 Tel Aviv, Israel

[2] Bar Ilan Univ, Dept Math & Comp Sci, IL-52900 Ramat Gan, Israel

来源：

JOURNAL OF ALGEBRA | 2000年 / 225卷 / 02期

基金：

以色列科学基金会;

关键词：

linear algebraic group; principal homogeneous space; unramified Brauer group; hypercohomology;

D O I：

10.1006/jabr.1999.8153

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a smooth compactification V of a principal homogeneous space E under a connected linear algebraic group G defined over a field k of characteristic zero, we present two formulas expressing Br V/Br k in terms of G. (C) 2000 Academic Press.

引用

页码：804 / 821

页数：18

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