Kuranishi and Teichm\"uller
Complex Variables
2021-03-16 v4 Differential Geometry
Abstract
The goal of this short article is to describe the local structure of the Teichm\"uller stack of [8] in the neighborhood of a K\"ahler point. In particular we show that at a generic K\"ahler point X, Catanese Kur=Teich question, when interpretated at the level of stacks, has an affirmative answer. The situation may be much more complicated if X is non-K\"ahler suggesting that Teichm\"uller spaces/stacks of non-K\"ahler manifold has a much richer geometry.
Keywords
Cite
@article{arxiv.1709.07237,
title = {Kuranishi and Teichm\"uller},
author = {Laurent Meersseman},
journal= {arXiv preprint arXiv:1709.07237},
year = {2021}
}
Comments
Main theorem 6.2 strengthened ; optimistic theorem 7.3 removed