PreprintCC BY 4.0arXiv
Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension
Abstract
Let π:X→D be a proper holomorphic submersion with connected fibers, and suppose that Xt is biholomorphic to a fixed smooth Moishezon manifold S for every t≠0. If κ(S)≥0, we prove that X0≃ S.
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BibTeX
@misc{li2026nondeformability,
title = {{Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension}},
author = {Mu-Lin Li},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23538},
eprint = {2609.23538},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23538},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Nondeformability of Moishezon manifolds with nonnegative Kodaira dimension
AU - Mu-Lin Li
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23538
UR - https://arxiv.org/abs/2609.23538
AB - Let π:X→D be a proper holomorphic submersion with connected fibers, and suppose that X_t is biholomorphic to a fixed smooth Moishezon manifold S for every t≠0. If κ(S)≥0, we prove that X_0≃ S.
ER -