| 多复变函数论的回顾与前瞻 |
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| 引用本文： | 陆启铿. 多复变函数论的回顾与前瞻[J]. 首都师范大学学报(自然科学版), 1996, 17(4): 1-7 |
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| 作者姓名： | 陆启铿 |
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| 作者单位： | 中国科学院数学研究所，汕头大学数学研究所 |
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| 摘 要： | 回顾了多复变函数论在１２个方面的重大进展．指出研究在双全纯映照下的分类问题及研究热方程对中国的多复变函数论是十分重要的．最后谈了近代数学物理的新发展．
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| 关 键 词： | 全纯映照，Bergman核，Cousin问题，Riemam－Roch定理，Levi问题，辛几何，调和映照，Calabi猜想 |
Look Back and Ahead on Several Complex Variables |
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| Lu Qikeng. Look Back and Ahead on Several Complex Variables[J]. Journal of Capital Normal University(Natural Science Edition), 1996, 17(4): 1-7 |
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| Authors: | Lu Qikeng |
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| Abstract: | In this paper,the author look back the 12 tremendous achievements on several complex variables and points out that the classify-problem under biholomorphic mappings and the heat-equation are very important in China to study the several complex variables.Finally,the author talks about the new.developments on modern mathematical physics. |
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| Keywords: | holomorphic mapping Bergman kernel Cousin problem Riemann-Roch theorem Levi problem sympletic geometry harmonic mapping Calabi's conjecture. |
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