Author

Sheng-Yuan Zhao

2 papers indexed here

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Preprint Aug 2026

Periods of Oka K3 surfaces are dense

We give the first known examples of Oka Calabi--Yau manifolds in any dimension: every smooth hypersurface of multidegree $(2,\ldots,2)$ in a product of projective lines is Oka. Building on this example, we prove that in every local Kuranishi family of K3 surfaces the points with Oka fibers form a dense $G_\delta$ subse...

Song-Yan Xie, Sheng-Yuan Zhao · 4 citations · ⚡1

Preprint Oct 2026

Postcritically finite endomorphisms I: Kobayashi hyperbolicity and tautness

Let $f:\mathbb{P}^N\to\mathbb{P}^N$ be a postcritically finite endomorphism of degree at least two. Combining Yamanoi's hyperbolicity results with the dynamical property of $f$, we prove that the complement of its postcritical divisor is taut unless $f$ is a monomial power map or admits a nontrivial equivariant rationa...

Rui-Ran Sun, Sheng-Yuan Zhao · 1 citation · ⚡1