Modularity of abelian surfaces with Quaternionic Multiplication
Number Theory
2007-05-23 v1
Abstract
We prove that any abelian surface defined over of -type having quaternionic multiplication and good reduction at 3 is modular. We generalize the result to higher dimensional abelian varieties with ``sufficiently many endomorphisms".
Cite
@article{arxiv.math/0304431,
title = {Modularity of abelian surfaces with Quaternionic Multiplication},
author = {Luis Dieulefait},
journal= {arXiv preprint arXiv:math/0304431},
year = {2007}
}
Comments
to appear at Math. Res. Letters