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arXiv · 1407.2026

Theorem of existence and completeness for holomorphic Poisson structures

Chunghoon Kim
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Abstract

In this paper, we define a concept of a family of compact holomorphic Poisson manifolds on the basis of Kodaira-Spencer's deformation theory and deduce the integrability condition. We prove an analogue of their `Theorem of existence for complex analytic structures' under some analytic assumption, and establish an analogue of their `Theorem of completeness for complex analytic structures' in the context of holomorphic Poisson deformations.

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Chunghoon Kim. 2014-07-08. Theorem of existence and completeness for holomorphic Poisson structures. https://arxiv.org/abs/1407.2026

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