English

A stronger concept of K-stability

Differential Geometry 2009-10-27 v1 Algebraic Geometry

Abstract

In this paper, by introducing a wider class of one-parameter group actions for test configurations, we have a stronger form of the definition of K-stability. This allows us to obtain some key step of my preceding work in proving that constant scalar curvature polarization implies K-stability for polarized algebraic manifolds.

Keywords

Cite

@article{arxiv.0910.4617,
  title  = {A stronger concept of K-stability},
  author = {Toshiki Mabuchi},
  journal= {arXiv preprint arXiv:0910.4617},
  year   = {2009}
}