English

A Note on Equivariant K-stability

Algebraic Geometry 2020-07-31 v3

Abstract

We define G-pseudovaluations on a variety with a group action G. By introducing G-pseudovaluations, we are able to give some criteria for G-equivariant K-stability of Fano varieties which are parallel to existing results for usual K-stability.

Keywords

Cite

@article{arxiv.1907.07655,
  title  = {A Note on Equivariant K-stability},
  author = {Ziwen Zhu},
  journal= {arXiv preprint arXiv:1907.07655},
  year   = {2020}
}

Comments

16 pages; v3: minor changes, add more details in Section 2 and Section 3. To appear in Eur. J. Math

R2 v1 2026-06-23T10:23:29.328Z