Galois groups of simple abelian varieties over finite fields and exceptional Tate classes

Santiago Arango-Piñeros, Sam Frengley, Sameera Vemulapalli

We prove new cases of the Tate conjecture for abelian varieties over finite fields, extending previous results of Dupuy--Kedlaya--Zureick-Brown, Lenstra--Zarhin, Tankeev, and Zarhi…