| Projection on Segre varieties and determination of holomorphic mappings between real submanifolds Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| 作者姓名： | BAOUENDI M S EBENFELT Peter ROTHSCHILD Linda P |
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| 作者单位： | Department of Mathematics University of California at San Diego La Jolla，CA 92093-0112，USA，Department of Mathematics University of California at San Diego，La Jolla，CA 92093-0112，USA，Department of Mathematics University of California at San Diego，La Jolla，CA 92093-0112，USA |
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| 摘 要： | 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.
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Projection on Segre varieties and determination of holomorphic mappings between real submanifolds Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
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| BAOUENDI M S,EBENFELT Peter,ROTHSCHILD Linda P.Projection on Segre varieties and determination of holomorphic mappings between real submanifolds Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J].Science in China(Mathematics),2006(11). |
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| Authors: | BAOUENDI M S EBENFELT Peter & ROTHSCHILD Linda P |
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| Institution: | BAOUENDI M S,EBENFELT Peter & ROTHSCHILD Linda P 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. |
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| Keywords: | Segre variety generic submanifold Segre mappings finite type biholomor-phic equivalence |
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