K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces

In Kyun Kim, Takuzo Okada, Joonyeong Won

Research output: Contribution to journalArticlepeer-review


We prove that the alpha invariant of a quasi-smooth Fano 3-fold weighted hypersurface of index is greater than or equal to. Combining this with the result of Stibitz and Zhuang [SZ19] on a relation between birational superrigidity and K-stability, we prove the K-stability of a birationally superrigid quasi-smooth Fano 3-fold weighted hypersurfaces of index.

Original languageEnglish
Article numbere93
JournalForum of Mathematics, Sigma
StatePublished - 11 Oct 2023

Bibliographical note

Publisher Copyright:
© The Author(s), 2023. Published by Cambridge University Press.


  • 14J45 32Q20


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