English

K\"{a}hler-Einstein metrics on Pasquier's two-orbits varieties

Algebraic Geometry 2021-01-19 v2 Differential Geometry

Abstract

We show that there exist K\"ahler-Einstein metrics on two exceptional Pasquier's two-orbits varieties. As an application, we will provide a new example of K-unstable Fano manifold with Picard number one.

Keywords

Cite

@article{arxiv.2101.01351,
  title  = {K\"{a}hler-Einstein metrics on Pasquier's two-orbits varieties},
  author = {Akihiro Kanemitsu},
  journal= {arXiv preprint arXiv:2101.01351},
  year   = {2021}
}

Comments

11 pages; added references and a remark (Remark 4.3)

R2 v1 2026-06-23T21:46:57.256Z