English

On local stabilities of $p$-K\"ahler structures

Complex Variables 2019-03-14 v3 Differential Geometry

Abstract

By use of a natural extension map and a power series method, we obtain a local stability theorem for p-K\"ahler structures with the (p,p+1)(p,p+1)-th mild ˉ\partial\bar\partial-lemma under small differentiable deformations.

Keywords

Cite

@article{arxiv.1801.01031,
  title  = {On local stabilities of $p$-K\"ahler structures},
  author = {Sheng Rao and Xueyuan Wan and Quanting Zhao},
  journal= {arXiv preprint arXiv:1801.01031},
  year   = {2019}
}

Comments

Several typos have been fixed. Final version to appear in Compositio Mathematica. arXiv admin note: text overlap with arXiv:1609.05637