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Seshadri constants and K-stability of Fano manifolds

journal contribution
posted on 21.04.2022, 10:44 authored by Hamid Abban, Ziquan Zhuang

We 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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Duke Mathematical Journal

Publisher

Duke University Press

Version

AM (Accepted Manuscript)

Publisher statement

This paper was accepted for publication in the journal Duke Mathematical Journal and the definitive published version is available at [insert DOI link]

Acceptance date

18/04/2022

ISSN

0012-7094

eISSN

1547-7398

Language

en

Depositor

Dr Hamid Abban. Deposit date: 19 April 2022

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