A Bando-Mabuchi Uniqueness Theorem

Li Yi

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A Bando-Mabuchi Uniqueness Theorem

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arxiv 1301.2847 v2 pith:VSZZM4UA submitted 2013-01-14 math.CV

A Bando-Mabuchi Uniqueness Theorem

Li Yi This is my paper

classification math.CV

keywords theoremuniquenessbando-mabuchibergmanberndtssonclosedconvexitycurrents

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In this paper we prove a uniqueness theorem on generalized Kahler-Einstein metrics on Fano manifolds. Our result generalize the one shown by Berndtsson using the convexity properties of Bergman kernels. The same technics as well as that of the regularization of closed positive currents and an estimate due to Demailly-Kollar will be used in our proof.

A Bando-Mabuchi Uniqueness Theorem

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