2 problems

Let $A_1$ and $A_2$ be abelian varieties defined over $\overline{\mathbb{Q}}$ with the same reduction $A$ over $\overline{\mathbb{F}}_p$, and let $\xi_1$ and $\xi_2$ be Hodge cycle…

Let $A$ be an abelian variety defined over a number field $K$. Via the comparison isomorphism between Betti and de Rham cohomologies, regard de Rham–Tate cycles as corresponding to…