Fei Hu

activity

20232026

most citedAn upper bound for polynomial volume growth of automorphisms of zero entropy

1 citations · 2 across the 4 of their papers we have counts for

collaborators

6 papers

math.NT2026

Height growth of rational self-maps

Fei Hu, Jiarui Song

Let $K$ be a number field or a function field of a curve. Let $f$ be a dominant rational self-map of a normal projective variety $X$ of dimension $d$ over $K$ , and let $h_{H} \geq 1$ b…

math.AG2026

Degree growth of rational and meromorphic self-maps

Fei Hu

Let $f$ be a dominant rational self-map of a normal projective variety over an algebraically closed field of arbitrary characteristic, or a dominant meromorphic self-map of a compa…

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…

math.AG2024★ 1 cited

An upper bound for polynomial volume growth of automorphisms of zero entropy

Fei Hu, Chen Jiang

Let $X$ be a normal projective variety of dimension $d$ over an algebraically closed field and $f$ an automorphism of $X$ . Suppose that the pullback $f^*|_{\mathsf{N}^1(X)_\mathbf{…

math.NT2023★ 1 cited

Canonical heights for abelian group actions of maximal dynamical rank

Fei Hu, Guolei Zhong

Let $X$ be a smooth projective variety of dimension $n \geq 2$ and $G ≅ Z^{n - 1}$ a free abelian group of automorphisms of $X$ over $Q$ . Suppose that $…