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

Abstract

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
No.31
Volume2021