De-Qi Zhang

collaborators

3 papers

math.AG2025

Polynomial log-volume growth in slow dynamics and the GK-dimensions of twisted homogeneous coordinate rings

Hsueh-Yung Lin, Keiji Oguiso, De-Qi Zhang

Let f be a zero entropy automorphism of a compact KÃ¤hler manifold X. We study the polynomial log-volume growth Plov(f) of f in light of the dynamical filtrations introduced in our…

math.AG2025

Morphisms from a very general hypersurface

Yongnam Lee, Yujie Luo, De-Qi Zhang

Let $X$ be a very general hypersurface of degree $d$ in the projective $(n + 1)$ -space with $n \geq 3$ , and $f : X \to Y$ a non-birational surjective morphism to a normal projective va…

math.AG2024

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…