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arXiv · 1705.03054

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

Clifton Cunningham·Lassina Dembélé
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Abstract

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.

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Clifton Cunningham, Lassina Dembélé. 2017-05-08. Lifts of Hilbert modular forms and application to modularity of abelian varieties. https://arxiv.org/abs/1705.03054

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