# Deformations of Holomorphic Poisson Manifolds

@inproceedings{Hitchin2011DeformationsOH,
title={Deformations of Holomorphic Poisson Manifolds},
author={Nigel Hitchin},
year={2011}
}
An unobstructedness theorem is proved for deformations of compact holomorphic Poisson manifolds and applied to a class of examples. These include certain rational surfaces and Hilbert schemes of points on Poisson surfaces. We study in particular the Hilbert schemes of the projective plane and show that a generic deformation is determined by two parameters -- an elliptic curve and a translation on it.

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