arXiv Analytics

Sign in

arXiv:1001.3424 [math.NT]AbstractReferencesReviewsResources

Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras

Yuri G. Zarhin

Published 2010-01-19, updated 2010-02-20Version 5

We prove an analogue of the Tate conjecture on homomorphisms of abelian varieties over infinite cyclotomic extensions of finitely generated fields of characteristic zero.

Comments: 9 pages
Categories: math.NT, math.AG
Subjects: 11G10, 14K15
Related articles: Most relevant | Search more
arXiv:math/0209076 [math.NT] (Published 2002-09-07, updated 2003-02-28)
Periods of abelian varieties
arXiv:1301.5594 [math.NT] (Published 2013-01-23, updated 2015-04-16)
Abelian varieties over fields of finite characteristic
arXiv:1012.5083 [math.NT] (Published 2010-12-22, updated 2011-10-11)
Homomorphisms of abelian varieties over geometric fields of finite characteristic

Links

Toolbox