English

Extension of 2-forms and symplectic varieties

Algebraic Geometry 2016-09-07 v3

Abstract

This paper deals with symplectic varieties which do not have symplectic resolutions. Some moduli spaces of semi-stable torsion-free sheaves on a K3 surface, and symplectic V-manifolds are such varieties. We shall prove local Torelli theorem for symplectic varieties. Some results on symplectic singularities are also included.

Keywords

Cite

@article{arxiv.math/0010114,
  title  = {Extension of 2-forms and symplectic varieties},
  author = {Yoshinori Namikawa},
  journal= {arXiv preprint arXiv:math/0010114},
  year   = {2016}
}

Comments

26 pages, to appear in J. reine. angew. Math, A footnote is added at (b) of the proof of Proposition 9

R2 v1 2026-07-22T16:35:08.985Z