Yu. G. Zarhin, “Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras”, Mat. Sb., 2010, Volume 201, Number 12,Pages <nobr>93

This article is cited in 3 papers

Endomorphisms of Abelian varieties, cyclotomic extensions and Lie algebras

Yu. G. Zarhin^ab

^a Institute of Mathematical Problems of Biology, Russian Academy of Sciences
^b Pennsylvania State University

Abstract: 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, Tate modules, Tate conjecture.

UDC: 512.742.7

MSC: 14J50, 14K99

Received: 21.02.2010

DOI: 10.4213/sm7697