Smooth Limits of Stable Manifolds

Mu-Lin Li

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arXiv · 2610.23457

Smooth Limits of Stable Manifolds

Mu-Lin Li

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Abstract

Let X be a compact complex manifold of dimension n, and suppose that X is deformation equivalent to a stable manifold. Then X is projective whenever n <=3. We also construct, for every n >=4, smooth families of compact complex manifolds over the unit disc such that every fiber over the punctured disc is a stable manifold, while the central fiber is a non-Kahler Moishezon manifold.

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Mu-Lin Li. 2026-10-16. Smooth Limits of Stable Manifolds. https://arxiv.org/abs/2610.23457

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