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| Holomorphic Lefschetz Fixed Point Formula for Non-compact K¨ahler Manifolds |
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Citation： |
Boyong CHEN,Yang LIU.Holomorphic Lefschetz Fixed Point Formula for Non-compact K¨ahler Manifolds[J].Chinese Annals of Mathematics B,2008,29(6):679~686 |
| Page view： 1139
Net amount： 763 |
Authors： |
Boyong CHEN; Yang LIU |
Foundation： |
Project supported by the Program for New Century Excellent Talents in University of China (No. 050380), the Grant for Chinese Excellent Doctorate’s Degree Thesis (No. 200519), the Fok Ying Tung Education Foundation and the National Natural Science Foundation of China (No. 10871145). |
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| Abstract： |
The authors obtain a holomorphic Lefschetz fixed point formula for certain non-compact “hyperbolic” K¨ahler manifolds (e.g. K¨ahler hyperbolic manifolds, bounded domains of holomorphy) by using the Bergman kernel. This result generalizes the early work of Donnelly and Fefferman. |
Keywords： |
Lefschetz fixed point formula, Bergman kernel |
Classification： |
32H10 |
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