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arxiv: 1308.2442 · v7 · pith:7GCU7MPLnew · submitted 2013-08-12 · 🧮 math.AG · math.DG· math.SG

Deformations of holomorphic pseudo-symplectic Poisson manifolds

classification 🧮 math.AG math.DGmath.SG
keywords poissondeformationsmanifoldsalongcompactdegeneratesdivisoreven-dimensional
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We prove unobstructed deformations for compact Kaehlerian even-dimensional Poisson manifolds whose Poisson tensor degenerates along a divisor with mild singularities. Examples include Hilbert schemes of del Pezzo surfaces.

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