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arxiv: 1210.0924 · v1 · pith:NXARVXPGnew · submitted 2012-10-02 · 🧮 math.DG · math.AG

A Numerical Criterion for K-Energy maps of Algebraic Manifolds

Sean Timothy Paul This is my paper
classification 🧮 math.DG math.AG
keywords belowboundedalgebraicbergmancriteriondegenerationsenergyk-energy
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Let X be a projective manifold. We prove that the Mabuchi Energy of X is bounded below on all degenerations in B (the space of Bergman metrics) if and only if it is bounded below uniformly on B.

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