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

2017/05/08 by Clifton Cunningham, Lassina Dembélé, Cunningham, Clifton +1
Mathematics · #11F70 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Primary: 11F41 #Representation Theory (math.RT) #Secondary: 11F80

paper · pdf · doi:10.48550/arxiv.1705.03054

openalex publication_date 2017/05/08 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the existence of certain lifts of Hilbert cusp forms\nto general odd spin groups. We then use those lifts to provide evidence for a\nconjecture of Gross on the modularity of abelian varieties not of rm\nGL₂-type.\n

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