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Geometry of Kaehler metrics and holomorphic foliation by discs
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math.DG
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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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