CR transversality of holomorphic mappings between generic submanifolds in complex spaces

Details CR transversality of holomorphic mappings between generic submanifolds in complex spaces CR transversality of holomorphic mappings between generic submanifolds in complex spaces

2010-06-03

arxiv.org/abs/1006.0541v1

Mathematics

Complex Variables

Scientific paper

We show that a holomorphic mapping sending one generic submanifold into
another of the same dimension is CR transversal to the target submanifold
provided that the source manifold is of finite type and the map is of generic
full rank. This result and its corollaries completely resolve two questions
posed by Linda P. Rothschild and the first author in a paper from 2006.

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