Stable Pairs and Coercive Estimates for The Mabuchi Functional

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.

28 pages. 1 Table (Appendix II). arXiv admin note: substantial text overlap with arXiv:1206.4923

References in corpus (2)

• K-stability and Kähler-Einstein metrics
• Kahler-Einstein metrics and stability

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