Deformations of Compact Complex Manifolds with Ample Canonical Bundles* |
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Authors: | Shiyu CAO |
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Affiliation: | Chern Institute of Mathematics & LMPC, Nankai University, Tianjin 300071, China. |
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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. |
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Keywords: | Complex structures Deformations Iteration Methods |
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