The Calabi problem for Fano threefolds

Research output: Working paper

  • External authors:
  • Carolina Araujo
  • Ana-Maria Castravet
  • Ivan Cheltsov
  • Kento Fujita
  • Anne-Sophie Kaloghiros
  • Jesus Martinez-Garcia
  • Constantin Shramov
  • Nivedita Viswanathan


There are 105 irreducible families of smooth Fano threefolds, which have
been classified by Iskovskikh, Mori and Mukai. For each family, we determine whether its general member admits a Kähler–Einstein metric or not. We also find all K ̈ahler–Einstein smooth Fano threefolds that have infinite automorphism groups.

Bibliographical metadata

Original languageEnglish
Number of pages322
Publication statusE-pub ahead of print - 2021

Publication series

NameMPIM Preprints