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arxiv: 0710.3579 · v1 · submitted 2007-10-18 · 🧮 math.CV · math.AG· math.DG

Holomorphic correspondences between CR manifolds

classification 🧮 math.CV math.AGmath.DG
keywords holomorphicalonganalyticapplicationscorrespondencecorrespondencescr-dimensionessentially
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It is proved that a germ of a real analytic CR map from a smooth real-analytic minimal CR manifold M to an essentially finite real-algebraic generic submanifold M' of P^N of the same CR-dimension extends as a holomorphic correspondence along M. Applications are given for pseudoconcave submanifolds of P^N.

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