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

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

1995-06-16

arxiv.org/abs/math/9506210v1

Mathematics

Number Theory

Scientific paper

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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