2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60104The 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 addedAlgebraic Geometry14JDeformation theory of singular symplectic n-foldstext