On uniform large Galois images for modular abelian varieties
Number Theory
2014-02-26 v1
Abstract
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.
Cite
@article{arxiv.1109.6676,
title = {On uniform large Galois images for modular abelian varieties},
author = {Eknath Ghate and Pierre Parent},
journal= {arXiv preprint arXiv:1109.6676},
year = {2014}
}