Seshadri constants and K-stability of Fano manifolds

2021/01/22 by Abban, Hamid, Zhuang, Ziquan
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2101.09246

Abstract

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.

Related

• Seshadri constants of the anticanonical divisors of Fano manifolds with large index
• K-stablity of Fano threefold hypersurfaces of index 1
• K-stability of Fano varieties via admissible flags
• Seshadri constants for vector bundles
• K-stability of Fano manifolds with not small alpha invariants