Formulas for the Unramified Brauer Group of a Principal Homogeneous Space of a Linear Algebraic Group

Mikhail Borovoi, Boris Kunyavskii

Research output: Contribution to journalArticlepeer-review

Abstract

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 BrV/Brk in terms of G.

Original languageEnglish
Pages (from-to)804-821
Number of pages18
JournalJournal of Algebra
Volume225
Issue number2
DOIs
StatePublished - 15 Mar 2000

Keywords

  • Linear algebraic group; principal homogeneous space; unramified Brauer group; hypercohomology

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