Deformations of Holomorphic Poisson Manifolds
نویسندگان
چکیده
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. 2010 Math. Subj. Class. 32G05, 53D17, 53D18.
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