English

A note on the definition of K-stability

Algebraic Geometry 2011-11-28 v1

Abstract

As recently pointed out by Li and Xu, the definition of K-stability, and the author's proof of K-stability for cscK manifolds without holomorphic vector fields, need to be altered slightly: the Donaldson-Futaki invariant is positive for all test configurations which are not trivial in codimension 2.

Keywords

Cite

@article{arxiv.1111.5826,
  title  = {A note on the definition of K-stability},
  author = {Jacopo Stoppa},
  journal= {arXiv preprint arXiv:1111.5826},
  year   = {2011}
}

Comments

2 pages

R2 v1 2026-06-21T19:41:11.222Z