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Seshadri constants and K-stability of Fano manifolds
journal contribution
posted on 2022-04-21, 10:44 authored by Hamid Abban, Ziquan ZhuangWe give a lower bound of the δ-invariants of ample line bundles in terms of Seshadri constants. As applications, we prove the uniform K-stability of infinitely many families of Fano hypersurfaces of arbitrarily large index, as well as the uniform K-stability of most families of smooth Fano threefolds of Picard number one.
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School
- Science
Department
- Mathematical Sciences
Published in
Duke Mathematical JournalVolume
172Issue
6Pages
1109-1144Publisher
Duke University PressVersion
- AM (Accepted Manuscript)
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© Duke University PressPublisher statement
This paper was accepted for publication in the journal Duke Mathematical Journal and the definitive published version is available at https://doi.org/10.1215/00127094-2022-0026Acceptance date
2022-04-18Publication date
2023-04-15Copyright date
2023ISSN
0012-7094eISSN
1547-7398Publisher version
Language
- en
Depositor
Dr Hamid Abban. Deposit date: 19 April 2022Usage metrics
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