Deformation theory of singular symplectic n-folds

Mathematics – Algebraic Geometry

Scientific paper

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

Scientific paper

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.

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