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

In Kyun Kim; Takuzo Okada; Joonyeong Won

doi:10.1017/fms.2023.87

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

In Kyun Kim
, Takuzo Okada
, Joonyeong Won

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 language	English
Article number	e93
Journal	Forum of Mathematics, Sigma
Volume	11
DOIs	https://doi.org/10.1017/fms.2023.87
State	Published - 11 Oct 2023

Bibliographical note

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

Keywords

14J45 32Q20

Access to Document

10.1017/fms.2023.87

Cite this

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title = "K-stability of birationally superrigid Fano 3-fold weighted hypersurfaces",

abstract = "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.",

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AU - Kim, In Kyun

AU - Okada, Takuzo

AU - Won, Joonyeong

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Y1 - 2023/10/11

N2 - 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.

AB - 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.

KW - 14J45 32Q20

UR - https://www.scopus.com/pages/publications/85175461463

U2 - 10.1017/fms.2023.87

DO - 10.1017/fms.2023.87

M3 - Article

AN - SCOPUS:85175461463

SN - 2050-5094

VL - 11

JO - Forum of Mathematics, Sigma

JF - Forum of Mathematics, Sigma

M1 - e93

ER -

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

Abstract

Bibliographical note

Keywords

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