Abelian varieties in characteristic p

Yu G. Zarkhin

doi:10.1007/BF01437858

Abelian varieties in characteristic p

Yu G. Zarkhin

Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

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 language	English (US)
Pages (from-to)	240-244
Number of pages	5
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/BF01437858
State	Published - Mar 1 1976

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF01437858

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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.",

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T1 - Abelian varieties in characteristic p

AU - Zarkhin, Yu G.

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N2 - 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.

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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AN - SCOPUS:33646493017

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JO - Mathematical Notes of the Academy of Sciences of the USSR

JF - Mathematical Notes of the Academy of Sciences of the USSR

IS - 3

ER -

Abelian varieties in characteristic p

Abstract

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