Deformations of holomorphic pseudo-symplectic Poisson manifolds

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.

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

References in corpus (3)

• Deformations and obstructions of pairs (X,D)
• Poisson modules and degeneracy loci
• Unobstructedness of deformations of weak Fano manifolds

Cited by in corpus (1)

• Deformations of log-Lagrangian submanifolds of Poisson manifolds