De-Qi Zhang

collaborators

3 papers

math.AG2026

Essential dimensions of polarized endomorphisms of certain algebraic surfaces

Qianli Fang, Yujie Luo, De-Qi Zhang

Let $f : X \to X$ be a polarized endomorphism of a smooth projective surface which is birationally ruled. We answer a question of Kollár and Zhuang, in the affirmative, on the incom…

math.AG2025

Essential dimensions of polarized endomorphisms of abelian varieties

Yujie Luo, Keiji Oguiso, De-Qi Zhang

Let $f$ be a polarized endomorphism of an abelian variety $A$ . Kollár and Zhuang asked whether the essential dimension $ed (f)$ equals $dim (A)$ . We provide counter…

math.AG2025

Log Calabi-Yau structure of algebaic varieties admitting a polarized endomorphism

Wentao Chang, De-Qi Zhang

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 $q > 1$ . Then Broustet and Gongyo proposed t…