A Numerical Criterion for K-Energy maps of Algebraic Manifolds

Abstract

Let X be a projective manifold. We prove that the Mabuchi Energy of X is bounded below on all degenerations in B (the space of Bergman metrics) if and only if it is bounded below uniformly on B.

8 pages

References in corpus (1)

• CM Stability of Projective varieties

Cited by in corpus (2)

• K-stability implies CM-stability
• On uniform K-stability of pairs