Journal article
Some Modular Abelian Surfaces
F Calegari, S Chidambaram, A Ghitza
Mathematics of Computation | AMER MATHEMATICAL SOC | Published : 2020
DOI: 10.1090/mcom/3434
Abstract
In this note, we use the main theorem of Boxer, Calegari, Gee, and Pilloni in Abelian surfaces over totally real fields are potentially modular (arXiv:1812.09269, 2018) to give explicit examples of modular abelian surfaces A with Endc A = Z and A smooth outside 2, 3, 5, and 7.
Grants
Awarded by National Science Foundation
Funding Acknowledgements
The first author was supported in part by NSF Grant DMS-1701703.