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arXiv:1705.03054 [math.NT]AbstractReferencesReviewsResources

Lifts of Hilbert modular forms and application to modularity of abelian varieties

Clifton Cunningham, Lassina Dembélé

Published 2017-05-08Version 1

In this paper, we prove the existence of certain lifts of Hilbert cusp forms to general odd spin groups. We then use those lifts to provide evidence for a conjecture of Gross on the modularity of abelian varieties not of ${\rm GL}_2$-type.

Categories: math.NT, math.RT
Subjects: 11F41, 11F80, 11F70
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