K-stability of Fano varieties via admissible flags

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 su...

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Bibliographic Details
Main Authors: Hamid Abban, Ziquan Zhuang
Format: Article
Language:English
Published: Cambridge University Press 2022-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508622000117/type/journal_article