Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
Super-rigidity for holomorphic mappings between hyperquadrics with positive signature
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DOI：
10.4310/jdg/1121449110
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发表时间：
2005
影响因子：
2.5
通讯作者：
M. S. Baouendi;Xiaojun Huang
中科院分区：
文献类型：
--
作者：
M. S. Baouendi;Xiaojun Huang
我们研究局部全纯映射，将复杂空间中的一块真实超二次曲面发送到另一个可能更大维度的复杂空间中的超二次曲面。我们证明，当超二次曲面具有正签名时，这些映射具有很强的超刚性特性。这些结果应用于不同维度的复杂射影空间中经典域之间的全纯映射的背景下。
We study local holomorphic mappings sending a piece of a real hyperquadric in a complex space into a hyperquadric in another complex space of possibly larger dimension. We show that these mappings possess strong super-rigidity properties when the hyperquadrics have positive signatures. These results are applied in the context of holomorphic mappings between classical domains in complex projective spaces of different dimensions.