Seshadri constants and K-stability of Fano manifolds
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.
- Mathematical Sciences
Published inDuke Mathematical Journal
PublisherDuke University Press
- AM (Accepted Manuscript)
Rights holder© Duke University Press
Publisher statementThis paper was accepted for publication in the journal Duke Mathematical Journal and the definitive published version is available at https://doi.org/10.1215/00127094-2022-0026