Non-critical equivariant L-values of modular abelian varieties
Résumé
We prove an equivariant version of Beilinson's conjecture on non-critical L-values of strongly modular abelian varieties over number fields. The proof builds on Beilinson's theorem on modular curves as well as a modularity result for endomorphism algebras. As an application, we prove a weak version of Zagier's conjecture on L(E, 2) and Deninger's conjecture on L(E, 3) for non-CM strongly modular Q-curves.
Origine | Fichiers produits par l'(les) auteur(s) |
---|
Loading...