Smooth deformation limit of Moishezon manifolds is Moishezon
Complex Variables
2025-03-25 v2 Algebraic Geometry
Differential Geometry
Abstract
We prove the conjecture that the deformation limit of Moishezon manifolds under a smooth deformation over a unit disk in is Moishezon.
Cite
@article{arxiv.2407.02022,
title = {Smooth deformation limit of Moishezon manifolds is Moishezon},
author = {Mu-Lin Li and Sheng Rao and Kai Wang and Meng-jiao Wang},
journal= {arXiv preprint arXiv:2407.02022},
year = {2025}
}
Comments
According to the referee's report, we apply the Oka--Grauert principle to construct a smooth complex subbundle for extension, replacing the role of constructible sheaf theory in the first version. All comments are still welcome