Kähler-Einstein Fano threefolds of degree 22

Ivan Cheltsov, Constantin Shramov*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the problem of existence of Kähler--Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C∗. We prove that, except possibly two explicitly described cases, all such smooth Fano threefolds are Kähler--Einstein.
Original languageEnglish
JournalJournal of Algebraic Geometry
Publication statusAccepted/In press - 20 Jul 2022


  • math.AG
  • math.DG
  • 14J45, 32Q20, 14E05


Dive into the research topics of 'Kähler-Einstein Fano threefolds of degree 22'. Together they form a unique fingerprint.

Cite this