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arxiv: 1203.5821 · v1 · pith:GGBCE4ZNnew · submitted 2012-03-26 · 🧮 math.CV

A note on the rank of positive closed currents

classification 🧮 math.CV
keywords closednotepositiverankbidimensioncurrentcurrentsdimension
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In this short note we prove an estimate on the rank a.e. of the tangent (p,p) vector to a a positive closed current of bidimension (p,p) in CP^k, in terms of the dimension of its trace measure.

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