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| Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain* |
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Citation： |
Xin ZHAO.Zero Problems of the Bergman Kernel Function on the First Type of Cartan-Hartogs Domain*[J].Chinese Annals of Mathematics B,2022,43(2):265~280 |
| Page view： 700
Net amount： 661 |
Authors： |
Xin ZHAO; |
Foundation： |
National Natural Science Foundation of China (No. 11871044) and the Natural Science Foundation of Hebei Province (No. A2019106037). |
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| Abstract： |
The authors give the condition that the Bergman kernel function on the first type of Cartan-Hartogs domain exists zeros. If the Bergman kernel function of this type of domain has zeros, the zero set is composed of several path-connected branches, and there exists a continuous curve to connect any two points in the non-zero set. |
Keywords： |
Cartan-Hartogs domain, Zeros of Bergman kernel function, Path connectivity |
Classification： |
32A07, 32A25 |
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