English

On the Mumford-Tate conjecture for abelian varieties with reduction conditions

Number Theory 2008-02-03 v1

Abstract

We study monodromy action on abelian varieties satisfying certain bad reduction conditions. These conditions allow us to get some control over the Galois image. As a consequence we verify the Mumford--Tate conjecture for such abelian varieties.

Keywords

Cite

@article{arxiv.math/9506210,
  title  = {On the Mumford-Tate conjecture for abelian varieties with reduction conditions},
  author = {Alex Lesin},
  journal= {arXiv preprint arXiv:math/9506210},
  year   = {2008}
}