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arXiv · 1412.3303

Deformations of nonsingular Poisson varieties and Poisson invertible sheaves

Chunghoon Kim
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Abstract

In this paper, we study deformations of nonsingular Poisson varieties, deformations of Poisson invertible sheaves and simultaneous deformations of nonsingular Poisson varieties and Poisson invertible sheaves, which extend flat deformation theory of nonsingular varieties and invertible sheaves. In an appendix, we study deformations of Poisson vector bundles. We identify first-order deformations and obstructions.

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Chunghoon Kim. 2014-12-10. Deformations of nonsingular Poisson varieties and Poisson invertible sheaves. https://doi.org/10.1215/21562261-2019-0042

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