English

The holomorphic limit of Kahler manifolds

Algebraic Geometry 2024-10-01 v1 Complex Variables

Abstract

In this paper, we study the deformation limit of compact Kahler manifolds. We show that the limit to be a manifold in the Fujiki class C is equivalent to the finiteness of the upper volume. We also prove the Streets-Tian conjecture for a special case.

Keywords

Cite

@article{arxiv.2409.19957,
  title  = {The holomorphic limit of Kahler manifolds},
  author = {Li Mu-Lin},
  journal= {arXiv preprint arXiv:2409.19957},
  year   = {2024}
}