Deformations of holomorphic pseudo-symplectic Poisson manifolds

2013/08/12 by Ziv Ran, Ran, Ziv
Mathematics · #14J40 #32G07 #32J27 #53D17 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.DG #math.SG #msc:14J40 #msc:32G07 #msc:32J27 #msc:53D17

paper · pdf · doi:10.48550/arxiv.1308.2442

(the latest version strengthens the statement of the main theorem and adds an example); to appear in Adv. Math

arxiv created 2016/09/20 · arxiv updated 2016/09/21

Abstract

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.

Related

• Deformations of holomorphic Poisson manifolds
• Deformations of compact holomorphic Poisson manifolds and algebraic Poisson schemes
• Holonomic Poisson geometry of Hilbert schemes
• Obstructed and unobstructed Poisson deformations
• Deformations of compact holomorphic Poisson submanifolds