Seshadri constants and K-stability of Fano manifolds

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.

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

References in corpus (1)

• K-stability of Fano varieties: an algebro-geometric approach

Cited by in corpus (1)

• On K-stability of Fano weighted hypersurfaces