通过容许标志测定法诺品种的k稳定性

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2020-03-30 DOI:10.1017/fmp.2022.11

Hamid Abban, Ziquan Zhuang

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引用次数: 46

摘要

摘要本文提出了一种证明Fano品种k稳定性的一般方法。新理论用于(a)证明在Fano指标2的所有光滑Fano超曲面上Kähler-Einstein度量的存在性，(b)计算广义Eckardt点和所有点的三次曲面的超曲面的稳定性阈值，以及(c)在其他应用中提供Tian的k稳定性判据的新的代数证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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K-stability of Fano varieties via admissible flags

Abstract We develop a general approach to prove K-stability of Fano varieties. The new theory is used to (a) prove the existence of Kähler-Einstein metrics on all smooth Fano hypersurfaces of Fano index two, (b) compute the stability thresholds for hypersurfaces at generalised Eckardt points and for cubic surfaces at all points, and (c) provide a new algebraic proof of Tian’s criterion for K-stability, amongst other applications.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464