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arXiv 0710.3579math.CVmath.AGmath.DG
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CR流形之间的全纯对应

Holomorphic correspondences between CR manifolds

C. Denson Hill, Rasul Shafikov

摘要:

证明了从光滑的实解析极小CR流形M到P^N的同CR维数的本质有限实代数一般子流形M'的实解析CR映射的芽沿M作为全纯对应扩张.给出了P^N的伪凹子流形的应用。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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