Modularity of abelian surfaces with Quaternionic Multiplication
Abstract
Description
We prove that any abelian surface defined over $\Q$ of $GL_2$-type having quaternionic multiplication and good reduction at 3 is modular. We generalize the result to higher dimensional abelian varieties with ``sufficiently many endomorphisms".
to appear at Math. Res. Letters
to appear at Math. Res. Letters