English

Finiteness of $\mathbb Q$-Fano compactifications of semisimple group with K\"ahler-Einstein metrics

Differential Geometry 2020-06-04 v1 Algebraic Geometry

Abstract

In this note, we give a way to classify Q\mathbb Q-Fano compactifications of a semisimple group GG. We will prove that there are only finitely many such Q\mathbb Q-Fano GG-compactifications, which admits (singular) K\"ahler-Einstein metrics. As an application, this improves a former result in arXiv:2001.11320.

Keywords

Cite

@article{arxiv.2006.01998,
  title  = {Finiteness of $\mathbb Q$-Fano compactifications of semisimple group with K\"ahler-Einstein metrics},
  author = {Yan Li and ZhenYe Li},
  journal= {arXiv preprint arXiv:2006.01998},
  year   = {2020}
}