English

Modularity of abelian varieties over $\Q$ with bad reduction in one prime only

Number Theory 2012-07-25 v3

Abstract

We show that certain abelian varieties over \Q\Q with bad reduction at one prime only are modular by using methods based on the tables of Odlyzko and class field theory.

Keywords

Cite

@article{arxiv.1205.1408,
  title  = {Modularity of abelian varieties over $\Q$ with bad reduction in one prime only},
  author = {Hendrik Verhoek},
  journal= {arXiv preprint arXiv:1205.1408},
  year   = {2012}
}