Abelian varieties in characteristic p

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11 Citations (Scopus)

Abstract

In this paper Tate's finiteness conjecture for isogenies of polarized Abelian varieties in characteristic p>2 is proved. From this conjecture it is deduced that Tate modules are semisimple and that Tate's conjecture on the homomorphisms of Abelian varieties is valid.

Original languageEnglish (US)
Pages (from-to)240-244
Number of pages5
JournalMathematical Notes of the Academy of Sciences of the USSR
Volume19
Issue number3
DOIs
StatePublished - Mar 1 1976

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Abelian Variety
Isogenies
Finiteness
Homomorphisms
Semisimple
Valid
Module

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Abelian varieties in characteristic p. / Zarkhin, Yu G.

In: Mathematical Notes of the Academy of Sciences of the USSR, Vol. 19, No. 3, 01.03.1976, p. 240-244.

Research output: Contribution to journalArticle

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AU - Zarkhin, Yu G.

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AB - In this paper Tate's finiteness conjecture for isogenies of polarized Abelian varieties in characteristic p>2 is proved. From this conjecture it is deduced that Tate modules are semisimple and that Tate's conjecture on the homomorphisms of Abelian varieties is valid.

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