The limits of Kahler manifolds under holomorphic deformations
Algebraic Geometry
2026-05-11 v3
Abstract
With some mild assumptions on metric and topology of the central fiber, we prove that the limit of Kahler manifolds under holomorphic deformation is still Kahler.
Cite
@article{arxiv.2406.14076,
title = {The limits of Kahler manifolds under holomorphic deformations},
author = {Mu-Lin Li and Wanmin Liu},
journal= {arXiv preprint arXiv:2406.14076},
year = {2026}
}
Comments
to appear in Acta Mathematica Sinica, English Series