Stable Pairs and Coercive Estimates for The Mabuchi Functional

Sean Timothy Paul

Stable Pairs and Coercive Estimates for The Mabuchi Functional

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arxiv 1308.4377 v1 pith:LW4N7NM3 submitted 2013-08-20 math.AG math.DG

Sean Timothy Paul This is my paper · ORCID

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keywords mabuchistablealgebraicautomorphismcoerciveenergyestimatesfinite

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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.

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A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics
math.AG 2019-07 unverdicted novelty 4.0 of 10

New variational proof of the DUY theorem under the assumption of uniform coercivity of Donaldson's functional, using Quot-scheme limits and with mostly elementary analysis.

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