Sheng Meng

collaborators

5 papers

math.AG2026

Log Calabi--Yau structure for endomorphisms on $P^{n}$

Yujie Luo, Sheng Meng

Let $f : P^{n} \to P^{n}$ be a $q$ -polarized endomorphism, where $q > 1$ , and let $R_{f}$ be its ramification divisor. We study the singularities of the ramification pair $(\…

math.AG2025

Log Calabi-Yau structure of projective threefolds admitting polarized endomorphisms

Sheng Meng

Let $X$ be a normal projective variety admitting a polarized endomorphism $f$ , i.e., $f^{*} H \sim q H$ for some ample divisor $H$ and integer $q > 1$ . It was conjectured by Broustet and…

math.AG2025

Jordan property for automorphism groups of compact varieties

Yujie Luo, Sheng Meng, De-Qi Zhang

In this note, we report some recent progress on the Jordan property for (birational) automorphism groups of projective varieties and compact complex varieties.

math.AG2025

Dynamical Iitaka theory on Fano contractions

Sheng Meng, Long Wang, Tianle Yang

We give several structure theorems for certain surjective endomorphisms on Mori fibre spaces, based on the dynamical Iitaka fibration of the ramification divisor. As an application…

math.AG2025

On endomorphisms of projective varieties with numerically trivial canonical divisors

Sheng Meng

Let $X$ be a klt projective variety with numerically trivial canonical divisor. A surjective endomorphism $f : X \to X$ is amplified (resp.~quasi-amplified) if $f^{*} D - D$ is ample (resp…

Log Calabi--Yau structure for endomorphisms on Pn

Log Calabi-Yau structure of projective threefolds admitting polarized endomorphisms

Jordan property for automorphism groups of compact varieties

Dynamical Iitaka theory on Fano contractions

On endomorphisms of projective varieties with numerically trivial canonical divisors

Log Calabi--Yau structure for endomorphisms on $P^{n}$