Stable Pairs and Coercive Estimates for The Mabuchi Functional
Algebraic Geometry
2013-08-21 v1 Differential Geometry
Abstract
We show that a projective manifold is stable if and only if the Mabuchi energy is proper on the space of algebraic metrics. We show that stability implies finite automorphism group.
Cite
@article{arxiv.1308.4377,
title = {Stable Pairs and Coercive Estimates for The Mabuchi Functional},
author = {Sean Timothy Paul},
journal= {arXiv preprint arXiv:1308.4377},
year = {2013}
}
Comments
28 pages. 1 Table (Appendix II). arXiv admin note: substantial text overlap with arXiv:1206.4923