Junyi Xie

activity

20182021

collaborators

8 papers

math.DS2021

Remarks on algebraic dynamics in positive characteristic

Junyi Xie

In this paper, we study arithmetic dynamics in arbitrary characteristic, in particular in positive characteristic. We generalise some basic facts on arithmetic degree and canonical…

math.DS2020

Free actions of large groups on complex threefolds

Serge Cantat, Olga Paris-Romaskevich, Junyi Xie

We classify compact Kähler threefolds $X$ with a free group of automorphisms acting freely on $X$ .

math.AG2019

Finiteness properties of pseudo-hyperbolic varieties

Ariyan Javanpeykar, Junyi Xie

Motivated by Lang-Vojta's conjecture, we show that the set of dominant rational self-maps of an algebraic variety over a number field with only finitely many rational points in any…

math.DS2019

The existence of Zariski dense orbits for endomorphisms of projective surfaces (with an appendix in collaboration with Thomas Tucker)

Junyi Xie

In this paper we prove the following theorem. Let $f$ be a dominant endomorphism of a smooth projective surface over an algebraically closed field of characteristic $0$ . If there i…

math.AG2018

On Fano manifolds of Picard number one with big automorphism groups

Baohua Fu, Wenhao Ou, Junyi Xie

Let $X$ be an $n$ -dimensional smooth Fano complex variety of Picard number one. Assume that the VMRT at a general point of $X$ is smooth irreducible and non-degenerate (which holds…

math.AG2018

Algebraic dynamics of skew-linear self-maps

Dragos Ghioca, Junyi Xie

Let $X$ be a variety defined over an algebraically closed field $k$ of characteristic $0$ , let $N \in N$ , let $g : X ⇢ X$ be a dominant rational self-map, and let…