Residual Representations of Semistable Principally Polarized Abelian Varieties

Samuele Anni, Pedro Lemos, Samir Siksek

Let $A$ be a semistable principally polarized abelian variety of dimension $d$ defined over the rationals. Let $\ell$ be a prime and let $\barρ_{A,\ell} : G_{\mathbb{Q}} \rightarro…