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

1995/06/16 by Lesin, Alex
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/9506210

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.

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