English

Deformation theory of singular symplectic n-folds

Algebraic Geometry 2007-05-23 v2

Abstract

The notion of a holomorphically symplectic manifold can be generalized to the singular one. This paper studies the birational contraction maps between symplectic varieties, and then describes the deformation of a symplectic variety which has a symplectic resolution. Some examples are also included.

Keywords

Cite

@article{arxiv.math/0010113,
  title  = {Deformation theory of singular symplectic n-folds},
  author = {Yoshinori Namikawa},
  journal= {arXiv preprint arXiv:math/0010113},
  year   = {2007}
}

Comments

28 pages, to appear in Math. Ann The proof of (2.6) became short. Appendix is added