Alpha invariants of birationally bi-rigid Fano 3-folds I

In Kyun Kim, Takuzo Okada, Joonyeong Won

Research output: Contribution to journalArticlepeer-review


We compute global log canonical thresholds of certain birationally bi-rigid Fano 3-folds embedded in weighted projective spaces as complete intersections of codimension 2 and prove that they admit an orbifold Kähler–Einstein metric and are K-stable. As an application, we give examples of super-rigid affine Fano 4-folds.

Original languageEnglish
Pages (from-to)272-308
Number of pages37
JournalEuropean Journal of Mathematics
Issue number1
StatePublished - Mar 2021
Externally publishedYes


  • Delta invariant
  • K-stability
  • Log del Pezzo surface


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