Fei Hu

activity

20142026

most citedCompact Kähler manifolds admitting large solvable groups of automorphisms

20 citations · 83 across the 18 of their papers we have counts for

collaborators

18 papers

math.AG2026

A lower bound for polynomial volume growth of automorphisms of zero entropy

Fei Hu, Chen Jiang

Let $X$ be a normal projective variety of dimension $d$ , and let $f$ be a zero-entropy automorphism of $X$ . Denote by $k$ the first-degree growth rate of $f$ , so that $°_1(f^n) \as…

math.AG2022★ 1 cited

Polynomial volume growth of quasi-unipotent automorphisms of abelian varieties (with an appendix in collaboration with Chen Jiang)

Fei Hu

Let $X$ be an abelian variety over an algebraically closed field $k$ and $f$ a quasi-unipotent automorphism of $X$ . When $k$ is the field of complex numbers, Lin,…

math.AG2021

An inequality on polarized endomorphisms

Fei Hu, Tuyen Trung Truong

We show that assuming the standard conjectures, for any smooth projective variety $X$ of dimension $n$ over an algebraically closed field, there is a constant $C > 0$ such that for a…

math.AG2021★ 2 cited

A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity

Fei Hu, Tuyen Trung Truong

Let $X$ be a smooth projective variety over an algebraically closed field of arbitrary characteristic, and $f$ a dynamical correspondence of $X$ . In 2016, the second author conject…

math.NT2020★ 8 cited

Height Gap Conjectures, $D$ -Finiteness, and Weak Dynamical Mordell-Lang

Jason P. Bell, Fei Hu, Matthew Satriano

In previous work, the first author, Ghioca, and the third author introduced a broad dynamical framework giving rise to many classical sequences from number theory and algebraic com…

math.AG2019★ 6 cited

Eigenvalues and dynamical degrees of self-maps on abelian varieties

Fei Hu

Let $X$ be a smooth projective variety over an algebraically closed field, and $f : X \to X$ a surjective self-morphism of $X$ . The $i$ -th cohomological dynamical degree $χ_i(f)…

math.AG2019★ 3 cited

Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case

Fei Hu, Sichen Li

Let $X$ be a normal projective variety of dimension $n$ and $G$ an abelian group of automorphisms such that all elements of $G ∖ {id}$ are of positive entropy. Di…

math.NT2019★ 1 cited

Higher arithmetic degrees of dominant rational self-maps

Nguyen-Bac Dang, Dragos Ghioca, Fei Hu +2

Suppose that $f : X ⇢ X$ is a dominant rational self-map of a smooth projective variety defined over $Q$ . Kawaguchi and Silverman conjecture…

math.AG2019★ 5 cited

Cohomological and numerical dynamical degrees on abelian varieties

Fei Hu

We show that for an endomorphism of an abelian variety defined over an algebraically closed field of arbitrary characteristic, the second cohomological dynamical degree coincides w…

math.AG2018★ 11 cited

Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic

Fei Hu

We show an analogue of Jordan's theorem for algebraic groups defined over a field $k$ of arbitrary characteristic. As a consequence, a Jordan-type property holds for the au…

math.NT2018★ 2 cited

A variant of the Mordell-Lang conjecture

Dragos Ghioca, Fei Hu, Thomas Scanlon +1

The Mordell-Lang conjecture (proven by Faltings, Vojta and McQuillan) states that the intersection of a subvariety $V$ of a semiabelian variety $G$ defined over an algebraically cl…

math.NT2018★ 8 cited

Density of orbits of endomorphisms of commutative linear algebraic groups

Dragos Ghioca, Fei Hu

We prove a conjecture of Medvedev and Scanlon for endomorphisms of connected commutative linear algebraic groups $G$ defined over an algebraically closed field $k$ of char…

math.AG2018★ 2 cited

A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic (with an appendix by Tomohide Terasoma)

Fei Hu, Tomohide Terasoma

We prove a theorem of Tits type for automorphism groups of projective varieties over an algebraically closed field of arbitrary characteristic, which was first conjectured by Keum,…

math.AG2016★ 1 cited

The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors

Fei Hu

Let $(X, D)$ be a log smooth pair of dimension $n$ , where $D$ is a reduced effective divisor such that the log canonical divisor $K_{X} + D$ is pseudo-effective. Let $G$ be a connecte…

math.AG2016★ 1 cited

Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy

Fei Hu, Sheng-Li Tan, De-Qi Zhang

We determine positive-dimensional G-periodic proper subvarieties of an n-dimensional normal projective variety X under the action of an abelian group G of maximal rank n-1 and of p…

math.AG2015★ 5 cited

Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers - a dynamical viewpoint

Fei Hu, JongHae Keum, De-Qi Zhang

Let $X$ be a projective surface or a hyperkähler manifold and $G \leq A u t (X)$ . We give a necessary and sufficient condition for the existence of a non-trivial $G$ -equivariant fibrat…

math.AG2015★ 20 cited

Compact Kähler manifolds admitting large solvable groups of automorphisms

Tien-Cuong Dinh, Fei Hu, De-Qi Zhang

Let G be a group of automorphisms of a compact Kähler manifold X of dimension n and N(G) the subset of null-entropy elements. Suppose G admits no non-abelian free subgroup. Improvi…

math.AG2014★ 7 cited

Ampleness of canonical divisors of hyperbolic normal projective varieties

Fei Hu, Sheng Meng, De-Qi Zhang

Let X be a projective variety which is algebraic Lang hyperbolic. We show that Lang's conjecture holds (one direction only): X and all its subvarieties are of general type and the…

A lower bound for polynomial volume growth of automorphisms of zero entropy

Polynomial volume growth of quasi-unipotent automorphisms of abelian varieties (with an appendix in collaboration with Chen Jiang)

An inequality on polarized endomorphisms

A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity

Height Gap Conjectures, D-Finiteness, and Weak Dynamical Mordell-Lang

Eigenvalues and dynamical degrees of self-maps on abelian varieties

Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case

Higher arithmetic degrees of dominant rational self-maps

Cohomological and numerical dynamical degrees on abelian varieties

Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic

A variant of the Mordell-Lang conjecture

Density of orbits of endomorphisms of commutative linear algebraic groups

A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic (with an appendix by Tomohide Terasoma)

The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors

Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy

Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers - a dynamical viewpoint

Compact Kähler manifolds admitting large solvable groups of automorphisms

Ampleness of canonical divisors of hyperbolic normal projective varieties

Height Gap Conjectures, $D$ -Finiteness, and Weak Dynamical Mordell-Lang