Kähler-Einstein metrics and higher alpha-invariants

Abstract

We give a criterion for the existence of a Kähler-Einstein metric on a Fano manifold $M$ in terms of the higher algebraic alpha-invariants ${\alpha }_{m,k}(M)$.

Sharpened sections 2 and 5

References in corpus (2)

• K-stability and Kähler-Einstein metrics
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry