English

Equivariant Kuranishi family of complex compact manifolds

Complex Variables 2021-03-29 v2 Algebraic Geometry

Abstract

We prove that actions of complex reductive Lie groups on a complex compact manifold are locally extendable to its Kuranishi family. This can be seen as an analogue of Rim's result (see [11]) in the analytic setting.

Keywords

Cite

@article{arxiv.2004.07014,
  title  = {Equivariant Kuranishi family of complex compact manifolds},
  author = {An Khuong Doan},
  journal= {arXiv preprint arXiv:2004.07014},
  year   = {2021}
}

Comments

17 pages, Published version