Author

Ze-Xuan Ouyang

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Preprint Aug 2026

Metric Degenerations and Satake Compactification of Enriques Surfaces

We determine the Gromov--Hausdorff compactification of the moduli space of unit-diameter Ricci-flat K\"ahler metrics on Enriques surfaces. We show that all metric degenerations are encoded by the adjoint Satake compactification of the Enriques period domain. There are 32 boundary components added in this Satake compact...

Ze-Xuan Ouyang · 0 citations

Preprint Sep 2026

Rigid and Nonrigid Isotropic Nef Classes on K3 Surfaces

Let $X$ be a fixed complex K3 surface and let $0\ne\alpha\in\overline{Kah_X}$ be a $(1,1)$-class on the boundary of the K\"ahler cone with $\alpha^2=0$. We build a novel connection between two seemingly unrelated, intensively studied problems: the rigidity of a closed positive current in the class $\alpha$ and the coll...

Xin Fu, Ze-Xuan Ouyang · 0 citations