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CM Stability of Projective varieties

2012/06/21 by Sean Timothy Paul, Paul, Sean Timothy · 1 citation
Mathematics · #Geometry and complex manifolds #Advanced Algebra and Geometry #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1206.4923

Abstract

We develop the connection between equivariant completions of algebraic homogeneous spaces of reductive groups and lower bounds for the Mabuchi energy of a polarized manifold over the space of Bergman metrics. We provide a new definition of Tian's CM Polarization and discuss its properties.

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