On uniform large Galois images for modular abelian varieties

Details On uniform large Galois images for modular abelian varieties On uniform large Galois images for modular abelian varieties

2011-09-29

arxiv.org/abs/1109.6676v1

Mathematics

Number Theory

Scientific paper

We formulate a question regarding uniform versions of "large Galois image
properties" for modular abelian varieties of higher dimension, generalizing the
well-known case of elliptic curves. We then answer our question affirmatively
in the exceptional image case, and provide lower estimates for uniform bounds
in the remaining cases.

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