Deformations of Compact Complex Manifolds with Ample Canonical Bundles

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

References

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