Fei Hu

collaborators

2 papers

math.AG2025

Parity and symmetry of polarized endomorphisms on cohomology

Fei Hu

We show that the eigenvalues of any polarized endomorphism acting on the $ℓ$ -adic étale cohomology of a smooth projective variety satisfy certain parity and symmetry properties,…

math.AG2025

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 $F_{p}$ . Assuming the standard conjecture $D$ , we prove a weaker form of…