Extension of 2-forms and symplectic varieties

Details Extension of 2-forms and symplectic varieties Extension of 2-forms and symplectic varieties

2000-10-12

arxiv.org/abs/math/0010114v3

Mathematics

Algebraic Geometry

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

Scientific paper

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.

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