Torsion of Abelian varieties of finite characteristic

Yu G. Zarkhin

doi:10.1007/BF01147687

Torsion of Abelian varieties of finite characteristic

Yu G. Zarkhin

Mathematics

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

8 Scopus citations

Abstract

The finiteness of the torsion of Abelian varieties with a complete real field of endomorphisms in the maximal Abelian extension of the field of definition is proven. This assertion is formally deduced from the finiteness hypothesis for isogenic Abelian varieties, proven for characteristic p > 2. The structure is studied of the Lie algebra of Galois groups acting in a Tate module; in particular, for fields of characteristic greater than two there is proven one-dimensionality of the center of the Lie algebra.

Original language	English (US)
Pages (from-to)	493-498
Number of pages	6
Journal	Mathematical Notes of the Academy of Sciences of the USSR
Volume	22
Issue number	1
DOIs	https://doi.org/10.1007/BF01147687
State	Published - Jul 1977

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/BF01147687

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Torsion of Abelian varieties of finite characteristic

Abstract

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