Tate's question, Standard conjecture D, semisimplicity and Dynamical degree comparison conjecture

Fei Hu, Tuyen Trung Truong, Junyi Xie

Let $X$ be a smooth projective variety of dimension $n$ over the algebraic closure of a finite field ${\mathbb{F}}_p$. Assuming the standard conjecture $D$, we prove a weaker form of…