CM Stability of Projective varieties

Abstract

We develop the connection between equivariant completions of algebraic homogeneous spaces of reductive groups and lower bounds for the Mabuchi energy of a polarized manifold over the space of Bergman metrics. We provide a new definition of Tian's CM Polarization and discuss its properties.

52 pages, 3 figures

References in corpus (1)

• Greatest lower bounds on Ricci curvature for toric Fano manifolds

Cited by in corpus (4)

• A Numerical Criterion for K-Energy maps of Algebraic Manifolds
• Quasi-projectivity of the moduli space of smooth Kahler-Einstein Fano manifolds
• A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics
• On uniform K-stability of pairs