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CM Stability of Projective varieties

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arxiv 1206.4923 v1 pith:KY6GKGWT submitted 2012-06-21 math.AG math.DG

classification math.AGmath.DG
keywords algebraicbergmanboundscompletionsconnectiondefinitiondevelopdiscuss
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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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  1. 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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