Alpha Invariants of Birationally Rigid Fano Three-folds

In Kyun Kim, Takuzo Okada, Joonyeong Won

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We compute global log canonical thresholds, or equivalently alpha invariants, of birationally rigid Fano three-folds embedded in weighted projective spaces as codimension two or three. As an important application, we prove that most of them are weakly exceptional, K-stable and admit Kähler-Einstien metric.

Original languageEnglish
Pages (from-to)2745-2800
Number of pages56
JournalInternational Mathematics Research Notices
Issue number9
StatePublished - 4 May 2018

Bibliographical note

Funding Information:
This work was partially supported by Japan Society for the Promotion of Science KAKENHI [26800019 to T.O.]; and National Research Foundation [2014R1A1A2056432 to J.W.], the National Foundation in Korea and [IBS-R003-D1 to J.W.], Institute for Basic Science in Korea.

Publisher Copyright:
© The Author(s) 2017. Published by Oxford University Press. All rights reserved.


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