PreprintCC BY 4.0arXiv
Smooth Limits of Stable Manifolds
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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BibTeX
@misc{li2026smooth,
title = {{Smooth Limits of Stable Manifolds}},
author = {Mu-Lin Li},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23457},
eprint = {2610.23457},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23457},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Smooth Limits of Stable Manifolds
AU - Mu-Lin Li
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23457
UR - https://arxiv.org/abs/2610.23457
AB - 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.
ER -