Jia Jia

activity

20202023

most citedSurjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits

5 citations · 20 across the 9 of their papers we have counts for

collaborators

9 papers

math.AG2023★ 1 cited

Smooth projective surfaces with pseudo-effective tangent bundles

Jia Jia, Yongnam Lee, Guolei Zhong

Let $S$ be a non-uniruled (i.e., non-birationally ruled) smooth projective surface. We show that the tangent bundle $T_{S}$ is pseudo-effective if and only if the canonical divisor $…

math.AG2022

Wild automorphisms of compact complex spaces of lower dimensions

Jia Jia, Long Wang

An automorphism of a compact complex space is called wild in the sense of Reichstein--Rogalski--Zhang if there is no non-trivial proper invariant analytic subset. We show that a co…

math.AG2022★ 2 cited

Moishezon manifolds with no nef and big classes

Jia Jia, Sheng Meng

We show that a compact complex manifold $X$ has no non-trivial nef $(1, 1)$ -classes if there is a non-isomorphic bimeromorphic map $f : X ⇢ Y$ isomorphic in codimen…

math.AG2022★ 2 cited

Automorphism groups of compact complex surfaces: T-Jordan property, Tits alternative and solvability

Jia Jia

Let $X$ be a (smooth) compact complex surface. We show that the torsion subgroup of the biholomorphic automorphism group $Aut (X)$ is virtually nilpotent. Moreover, w…

math.AG2022★ 2 cited

Equivariant Kähler model for Fujiki's class

Jia Jia, Sheng Meng

Let $X$ be a compact complex manifold in Fujiki's class $C$ , i.e., admitting a big $(1, 1)$ -class $[α]$ . Consider $Aut (X)$ the group of biholomorphic automorphisms…

math.AG2021

Potential density of projective varieties having an int-amplified endomorphism

Jia Jia, Takahiro Shibata, De-Qi Zhang

We consider the potential density of rational points on an algebraic variety defined over a number field $K$ , i.e., the property that the set of rational points of $X$ becomes Zari…

math.AG2021★ 4 cited

Endomorphisms of quasi-projective varieties -- towards Zariski dense orbit and Kawaguchi-Silverman conjectures

Jia Jia, Takahiro Shibata, Junyi Xie +1

Let $X$ be a quasi-projective variety and $f : X \to X$ a finite surjective endomorphism. We consider Zariski Dense Orbit Conjecture (ZDO), and Adelic Zariski Dense Orbit Conjec…

math.AG2020★ 4 cited

Amplified endomorphisms of Fano fourfolds

Jia Jia, Guolei Zhong

Let $X$ be a smooth Fano fourfold admitting a conic bundle structure. We show that $X$ is toric if and only if $X$ admits an amplified endomorphism; in this case, $X$ is a rational…

math.AG2020★ 5 cited

Surjective endomorphisms of projective surfaces: the existence of infinitely many dense orbits

Jia Jia, Junyi Xie, De-Qi Zhang

Let $f : X \to X$ be a surjective endomorphism of a normal projective surface. When $deg f \geq 2$ , applying an (iteration of) $f$ -equivariant minimal model pro…