The brauer group of an abelian variety over a finite field

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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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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