Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras
Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1801-1810

Voir la notice de l'article provenant de la source Math-Net.Ru

We prove an analogue of the Tate conjecture on homomorphisms of Abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero. Bibliography: 19 titles.
Keywords: Abelian varieties
Mots-clés : Tate modules, Tate conjecture.
@article{SM_2010_201_12_a4,
     author = {Yu. G. Zarhin},
     title = {Endomorphisms of {Abelian} varieties, cyclotomic extensions and {Lie} algebras},
     journal = {Sbornik. Mathematics},
     pages = {1801--1810},
     publisher = {mathdoc},
     volume = {201},
     number = {12},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2010_201_12_a4/}
}
TY  - JOUR
AU  - Yu. G. Zarhin
TI  - Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras
JO  - Sbornik. Mathematics
PY  - 2010
SP  - 1801
EP  - 1810
VL  - 201
IS  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SM_2010_201_12_a4/
LA  - en
ID  - SM_2010_201_12_a4
ER  - 
%0 Journal Article
%A Yu. G. Zarhin
%T Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras
%J Sbornik. Mathematics
%D 2010
%P 1801-1810
%V 201
%N 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SM_2010_201_12_a4/
%G en
%F SM_2010_201_12_a4
Yu. G. Zarhin. Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras. Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1801-1810. http://geodesic.mathdoc.fr/item/SM_2010_201_12_a4/