On uniform large Galois images for modular abelian varieties
arXiv:1109.6676 · doi:10.1112/blms/bds041
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.