English

Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras

Number Theory 2015-05-18 v5 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1001.3424,
  title  = {Endomorphisms of abelian varieties, cyclotomic extensions and Lie algebras},
  author = {Yuri G. Zarhin},
  journal= {arXiv preprint arXiv:1001.3424},
  year   = {2015}
}

Comments

9 pages