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arxiv: math/0409433 · v1 · pith:5WT2ZWYXnew · submitted 2004-09-22 · 🧮 math.DG

Geometry of Kaehler metrics and holomorphic foliation by discs

classification 🧮 math.DG
keywords kaehlermetricsextremaltheorycertaincomplexconditionconsequences
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The purpose of this paper is to establish a partial regularity theory on certain homogeneous complex Monge-Ampere equations. As consequences of this new theory, we prove the uniqueness of extremal Kaehler metrics and give an necessary condition for existence of extremal Kaehler metrics.

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