Projection on Segre varieties and determination of holomorphic mappings between real submanifolds |
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Authors: | BAOUENDI M S EBENFELT Peter ROTHSCHILD Linda P |
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Institution: | Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112, USA |
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Abstract: | It is shown that a germ of a holomorphic mapping sending a real-analytic generic submanifold of finite type into another is
determined by its projection on the Segre variety of the target manifold. A necessary and sufficient condition is given for
a germ of a mapping into the Segre variety of the target manifold to be the projection of a holomorphic mapping sending the
source manifold into the target. An application to the biholomorphic equivalence problem is also given.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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Keywords: | Segre variety generic submanifold Segre mappings finite type biholomorphic equivalence |
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