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