De-Qi Zhang

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20232026

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math.AG2026

Galois self-covers of projective spaces and essential dimensions

Yujie Luo, De-Qi Zhang

We give the structure theorem of Galois self-covers $f : P^{n} \to P^{n}$ . As an application, we show that the essential dimension of every such nontrivial cover attai…

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…