K-stability of Fano varieties via admissible flags
journal contribution
posted on 2022-07-20, 10:31 authored by Hamid Abban, Ziquan ZhuangWe 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.
Funding
Birational Models of Singular Fano 3-folds
Engineering and Physical Sciences Research Council
Find out more...Kähler-Einstein metrics on Fano manifolds
Engineering and Physical Sciences Research Council
Find out more...NSF Grant DMS-2055531
History
School
- Science
Department
- Mathematics Education Centre
Published in
Forum of Mathematics, PiVolume
10Publisher
Cambridge University PressVersion
- VoR (Version of Record)
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© The Author(s)Publisher statement
This is an Open Access article published by Cambridge University Press and distributed under the terms of the Creative Commons Attribution licence (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.Acceptance date
2022-06-01Publication date
2022-06-30Copyright date
2022eISSN
2050-5094Publisher version
Language
- en
Depositor
Dr Hamid Abban. Deposit date: 18 July 2022Article number
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