K-Stability of birationally superrigid fano varieties

Charlie Stibitz; Ziquan Zhuang

K-Stability of birationally superrigid fano varieties

Charlie Stibitz, Ziquan Zhuang

Mathematics

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

Abstract

We prove that every birationally superrigid Fano variety whose alpha invariant is greater than (resp. no smaller than) 1/2 is K-stable (resp. K-semistable). We also prove that the alpha invariant of a birationally superrigid Fano variety of dimension n is at least 1/n+1 (under mild assumptions) and that the moduli space (if exists) of birationally superrigid Fano varieties is separated.

Original language	English (US)
Journal	Unknown Journal
State	Published - Feb 22 2018

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title = "K-Stability of birationally superrigid fano varieties",

abstract = "We prove that every birationally superrigid Fano variety whose alpha invariant is greater than (resp. no smaller than) 1/2 is K-stable (resp. K-semistable). We also prove that the alpha invariant of a birationally superrigid Fano variety of dimension n is at least 1/n+1 (under mild assumptions) and that the moduli space (if exists) of birationally superrigid Fano varieties is separated.",

author = "Charlie Stibitz and Ziquan Zhuang",

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language = "English (US)",

journal = "Unknown Journal",

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AU - Stibitz, Charlie

AU - Zhuang, Ziquan

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N2 - We prove that every birationally superrigid Fano variety whose alpha invariant is greater than (resp. no smaller than) 1/2 is K-stable (resp. K-semistable). We also prove that the alpha invariant of a birationally superrigid Fano variety of dimension n is at least 1/n+1 (under mild assumptions) and that the moduli space (if exists) of birationally superrigid Fano varieties is separated.

AB - We prove that every birationally superrigid Fano variety whose alpha invariant is greater than (resp. no smaller than) 1/2 is K-stable (resp. K-semistable). We also prove that the alpha invariant of a birationally superrigid Fano variety of dimension n is at least 1/n+1 (under mild assumptions) and that the moduli space (if exists) of birationally superrigid Fano varieties is separated.

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M3 - Article

AN - SCOPUS:85093424695

SN - 0891-5849

JO - Unknown Journal

JF - Unknown Journal

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K-Stability of birationally superrigid fano varieties

Abstract

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