info:eu-repo/semantics/article
On the paramodularity of typical abelian surfaces
Fecha
2019-05Registro en:
Brumer, Armand; Pacetti, Ariel Martín; Poor, Cris; Tornaría, Gonzalo; Voight, John; et al.; On the paramodularity of typical abelian surfaces; Mathematical Sciences Publishers; Algebra & Number Theory; 13; 5; 5-2019; 1145-1195
1937-0652
1944-7833
CONICET Digital
CONICET
Autor
Brumer, Armand
Pacetti, Ariel Martín
Poor, Cris
Tornaría, Gonzalo
Voight, John
Yuen, David S.
Resumen
Generalizing the method of Faltings–Serre, we rigorously verify that certain abelian surfaces without extra endomorphisms are paramodular. To compute the required Hecke eigenvalues, we develop a method of specialization of Siegel paramodular forms to modular curves.