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

14 Scopus citations

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

Bibliographical note

Funding Information:
1Partially supported by the United States–Israel Binational Science Foundation and by the Hermann Minkowski Center for Geometry.

Funding Information:
2Partially supported by the Ministry of Absorption (Israel), the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and the Minerva Foundation through the Emmy Noether Research Institute.

Funding

1Partially supported by the United States–Israel Binational Science Foundation and by the Hermann Minkowski Center for Geometry. 2Partially supported by the Ministry of Absorption (Israel), the Israel Science Foundation founded by the Israel Academy of Sciences and Humanities, and the Minerva Foundation through the Emmy Noether Research Institute.

FundersFunder number
Emmy Noether Research Institute
Hermann Minkowski Center for Geometry
Ministry of Absorption
Minerva Foundation
United States-Israel Binational Science Foundation
Israel Academy of Sciences and Humanities
Israel Science Foundation

    Keywords

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

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