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: Default Article
Published: 2022
Subjects:
K-stability
Fano varieties
Online Access:https://hdl.handle.net/2134/20334789.v1
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