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

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 ${\mathrm{GL}}_2$-type.

References in corpus (1)

• Rigorous computation of the endomorphism ring of a Jacobian

Cited by in corpus (2)

• Rigorous computation of the endomorphism ring of a Jacobian
• An intriguing hyperelliptic Shimura curve quotient of genus 16