Kähler-Einstein metrics on Fano surfaces

Valentino Tosatti*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We give an exposition of a result of G. Tian, which says that a Fano surface admits a Kähler-Einstein metric precisely when the Lie algebra of holomorphic vector fields is reductive.

Original languageEnglish (US)
Pages (from-to)11-31
Number of pages21
JournalExpositiones Mathematicae
Issue number1
StatePublished - 2012


  • Fano surfaces
  • Kähler-Einstein metrics

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Kähler-Einstein metrics on Fano surfaces'. Together they form a unique fingerprint.

Cite this