Year: 2026
Type: preprint
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.
Source: arXiv (Cornell University)
Author: Li, Mu-Lin
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222947643