On the Frobenius fields of abelian varieties over number fields

Ashay A. Burungale, Haruzo Hida, Shilin Lai

Let $A$ be a non-CM simple abelian variety over a number field $K$. For a place $v$ of $K$ such that $A$ has good reduction at $v$, let $F(A,v)$ denote the Frobenius field generate…