K-stability of constant scalar curvature Kähler manifolds

2008/03/28 by Stoppa, Jacopo · 2 citations
#Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0803.4095

Abstract

We show that a polarised manifold with a constant scalar curvature Kähler metric and discrete automorphisms is K-stable. This refines the K-semistability proved by S. K. Donaldson.

Cited by

• Rigidity of complete Kähler-Einstein metrics under cscK perturbations
• Equivariant CM minimization for extremal manifolds

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