A Numerical Criterion for K-Energy maps of Algebraic Manifolds
Differential Geometry
2012-10-04 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1210.0924,
title = {A Numerical Criterion for K-Energy maps of Algebraic Manifolds},
author = {Sean Timothy Paul},
journal= {arXiv preprint arXiv:1210.0924},
year = {2012}
}
Comments
8 pages