Paramodular abelian varieties of odd conductor
Paramodular abelian varieties of odd conductor
A precise and testable modularity conjecture for rational abelian surfaces $A$ with trivial endomorphisms, $\mathrm {End}_{\mathbb {Q}} A = \mathbb {Z}$, is presented. It is consistent with our examples, our non-existence results and recent work of C. Poor and D. S. Yuen on weight 2 Siegel paramodular forms. We obtain …