Compact moduli space of Kahler-Einstein Fano varieties

Abstract

We construct a geometrically compactified moduli algebraic space of Kahler-Einstein Fano manifolds.

Final version, to appear in Publ. RIMS. (Only minor improvements of exposition are made, after v2.)

References in corpus (7)

• K-stability and Kähler-Einstein metrics
• Kahler geometry on toric manifolds, and some other manifolds with large symmetry
• CM Stability and the Generalized Futaki Invariant I
• K-stability of constant scalar curvature polarization
• A stronger concept of K-stability
• Stable varieties with a twist
• Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds

Cited by in corpus (2)

• Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds
• Generalized Kähler-Einstein metric along $\mathbb{Q}$-Fano fibration