Abstract
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.
Citation
Armand Brumer. Ariel Pacetti. Cris Poor. Gonzalo Tornaría. John Voight. David S. Yuen. "On the paramodularity of typical abelian surfaces." Algebra Number Theory 13 (5) 1145 - 1195, 2019. https://doi.org/10.2140/ant.2019.13.1145
Information
