Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre)

Alina Carmen Cojocaru, Rachel Davis, Alice Silverberg +1

Let $A$ be an abelian variety over $\mathbb{Q}$ of dimension $g$ such that the image of its associated absolute Galois representation ${\rho }_A$ is open in $\operatorname{GSp}_{2g}(\hat…