Abelian varieties, l-adic representations and SL2

Yuriy G. Zarkhin

doi:10.1070/IM1980v014n02ABEH001105

Abelian varieties, l-adic representations and SL₂

Yuriy G. Zarkhin

Mathematics

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

3 Scopus citations

Abstract

In this article the Lie algebra of a Galois group which operates on the Tate module of a two-or three-dimensional Abelian variety is calculated. It is assumed that the Abelian variety does not have nontrivial endomorphisms and is defined over a global field with characteristic greater than two.

Original language	English (US)
Pages (from-to)	275-288
Number of pages	14
Journal	Mathematics of the USSR - Izvestija
Volume	14
Issue number	2
DOIs	https://doi.org/10.1070/IM1980v014n02ABEH001105
State	Published - Apr 30 1980

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.1070/IM1980v014n02ABEH001105

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abstract = "In this article the Lie algebra of a Galois group which operates on the Tate module of a two-or three-dimensional Abelian variety is calculated. It is assumed that the Abelian variety does not have nontrivial endomorphisms and is defined over a global field with characteristic greater than two.",

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Abelian varieties, l-adic representations and SL₂

Abstract

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