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| Deformations of Compact Complex Manifolds with Ample Canonical Bundles* |
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Citation： |
Shiyu CAO.Deformations of Compact Complex Manifolds with Ample Canonical Bundles*[J].Chinese Annals of Mathematics B,2023,44(1):1~16 |
| Page view： 755
Net amount： 570 |
Authors： |
Shiyu CAO; |
Foundation： |
National Natural Science Foundation of China (No. 11931007). |
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| Abstract： |
In this paper, the author discusses the deformations of compact complex manifolds with ample canonical bundles. It is known that a complex manifold has unobstructed deformations when it has a trivial canonical bundle or an ample anti-canonical bundle.When the complex manifold has an ample canonical bundle, the author can prove that this manifold also has unobstructed deformations under an extra condition. |
Keywords： |
Complex structures, Deformations, Iteration Methods |
Classification： |
32G05 |
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