Abelian varieties, l-adic representations and SL2

Ju G. Zarhin

doi:10.1070/IM1980v014n02ABEH001105

Abelian varieties, l-adic representations and SL₂

Ju G. Zarhin

Mathematics

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

4 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

General Mathematics

Access to Document

10.1070/IM1980v014n02ABEH001105

Cite this

@article{75e5e19145c44fb0a4cb49e880718427,

title = "Abelian varieties, l-adic representations and SL2",

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.",

author = "Zarhin, \{Ju G.\}",

year = "1980",

month = apr,

day = "30",

doi = "10.1070/IM1980v014n02ABEH001105",

language = "English (US)",

volume = "14",

pages = "275--288",

journal = "Mathematics of the USSR - Izvestija",

issn = "0025-5726",

publisher = "IOP Publishing Ltd.",

number = "2",

}

TY - JOUR

T1 - Abelian varieties, l-adic representations and SL2

AU - Zarhin, Ju G.

PY - 1980/4/30

Y1 - 1980/4/30

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84921051341

UR - https://www.scopus.com/pages/publications/84921051341#tab=citedBy

U2 - 10.1070/IM1980v014n02ABEH001105

DO - 10.1070/IM1980v014n02ABEH001105

M3 - Article

AN - SCOPUS:84921051341

SN - 0025-5726

VL - 14

SP - 275

EP - 288

JO - Mathematics of the USSR - Izvestija

JF - Mathematics of the USSR - Izvestija

IS - 2

ER -

Abelian varieties, l-adic representations and SL₂

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this