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 ${\alpha }_{m,k}(M)$.

arXiv commentSharpened sections 2 and 5

References in corpus (4)

• K-stability and Kähler-Einstein metrics
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• Kahler-Einstein metrics on Fano surfaces
• Stability of tangent bundle on the moduli space of stable bundles on a curve

Cited by in corpus (1)

• Higher Codimensional Alpha Invariants and Characterization of Projective Spaces