Scalar curvature and projective embeddings, II

2004/07/30 by S. Donaldson, Donaldson, S. · 4 citations
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0407534

arxiv created 2005/01/14 · arxiv updated 2009/12/01

Abstract

The paper uses the technique of finite-dimensional approximation to show that a constant scalr curvature Kahler metric (on a polarised algebraic variety without holomorphic vector fields) minimises the Mabuchi functional.

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• The maximal destabilizers for Chow and K-stability
• Asymptotic expansion of the variation of the Quillen metric and its moment map interpretation
• A YTD correspondence for constant scalar curvature metrics

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