Deformation theory of singular symplectic n-folds
Copyright policy )Deformation theory of singular symplectic n-folds
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.
28 pages, to appear in Math. Ann The proof of (2.6) became short. Appendix is added
- Osaka University Japan
symplectic resolution, Deformations of complex structures, Symplectic manifolds (general theory), Calabi-Yau manifolds (algebro-geometric aspects), Compact complex \(n\)-folds, projective symplectic varieties, normal projective varieties, Global theory of symplectic and contact manifolds, Mathematics - Algebraic Geometry, FOS: Mathematics, 14J, Kuranishi deformation spaces, rational Gorenstein singularities, Algebraic Geometry (math.AG)
symplectic resolution, Deformations of complex structures, Symplectic manifolds (general theory), Calabi-Yau manifolds (algebro-geometric aspects), Compact complex \(n\)-folds, projective symplectic varieties, normal projective varieties, Global theory of symplectic and contact manifolds, Mathematics - Algebraic Geometry, FOS: Mathematics, 14J, Kuranishi deformation spaces, rational Gorenstein singularities, Algebraic Geometry (math.AG)
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