Sheng Meng

activity

20182026

most citedEquivariant Kähler model for Fujiki's class

2 citations · 3 across the 5 of their papers we have counts for

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8 papers · 1 filter

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

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

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.AG2023

Advances in the equivariant minimal model program and their applications in complex and arithmetic dynamics

Sheng Meng, De-Qi Zhang

This note reports some advances in the Equivariant Minimal Model Program (EMMP) for non-isomorphic surjective endomorphisms and their applications in complex and arithmetic dynamic…

math.AG2023★ 1 cited

Structures theorems and applications of non-isomorphic surjective endomorphisms of smooth projective threefolds

Sheng Meng, De-Qi Zhang

Let $f : X \to X$ be a non-isomorphic (i.e., $deg f > 1$ ) surjective endomorphism of a smooth projective threefold $X$ . We prove that any birational minimal model program become…

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…