Seshadri constants and K-stability of Fano manifolds

Hamid Abban; Ziquan Zhuang

Seshadri constants and K-stability of Fano manifolds

Algebraic Geometry 2022-04-28 v2

Authors: Hamid Abban , Ziquan Zhuang

Abstract

We give a lower bound of the $\delta$ -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.

Keywords

Seshadri constants δ-invariants K-stability Fano manifolds Fano hypersurfaces Fano threefolds

Cite

@article{arxiv.2101.09246,
  title  = {Seshadri constants and K-stability of Fano manifolds},
  author = {Hamid Abban and Ziquan Zhuang},
  journal= {arXiv preprint arXiv:2101.09246},
  year   = {2022}
}

Comments

Small changes after referee report. To appear in Duke Math Journal

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