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

Article ID Journal Published Year Pages File Type
4594005 Journal of Number Theory 2013 34 Pages PDF
Abstract

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

Keywords
Modular formsGalois representationsAbelian varieties
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Modularity of abelian varieties over Q with bad reduction in one prime only
Authors
Hendrik Verhoek,
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