The brauer group of an abelian variety over a finite field

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The author presents a formula for the order of a component of the Brauer group of an abelian variety over a finite field, where the order of the component in question is relatively prime to the characteristic of the field. For principally polarized abelian surfaces this formula becomes the well-known Artin-Tate formula. A natural nondegenerate pairing between the components of the Brauer groups of an abelian variety and its Picard variety is constructed.Bibliography: 27 titles.

Original languageEnglish (US)
Pages (from-to)203-234
Number of pages32
JournalMathematics of the USSR - Izvestija
Volume20
Issue number2
DOIs
StatePublished - Apr 30 1983

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Brauer Group
Abelian Variety
Galois field
Abelian Surfaces
Relatively prime
Pairing

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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The brauer group of an abelian variety over a finite field. / Zarkhin, Yuriy G.

In: Mathematics of the USSR - Izvestija, Vol. 20, No. 2, 30.04.1983, p. 203-234.

Research output: Contribution to journalArticle

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