English

Deformations of holomorphic pseudo-symplectic Poisson manifolds

Algebraic Geometry 2016-09-21 v7 Differential Geometry Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1308.2442,
  title  = {Deformations of holomorphic pseudo-symplectic Poisson manifolds},
  author = {Ziv Ran},
  journal= {arXiv preprint arXiv:1308.2442},
  year   = {2016}
}

Comments

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