We previously proposed a two-pathway model for solute and water transport across vascular endothelium (Fu, B. M., R. Tsay, F. E. Curry, and S. Weinbaum. J. Biomech. Eng. 116: 502-513, 1994) thatâ€¦ (More)

Based on our previous work [3], we prove that for any two projective symplectic resolutions Z1 and Z2 for a nilpotent orbit closure in a simple complex Lie algebra of classical type, then Z1 isâ€¦ (More)

We prove the uniqueness of crepant resolutions for some quotient singularities and for some nilpotent orbits. The finiteness of nonisomorphic symplectic resolutions for 4-dimenensional symplecticâ€¦ (More)

We prove that two Springer maps of the same degree over a nilpotent orbit closure are connected by stratified Mukai flops, and the latter is obtained by contractions of extremal rays of a naturalâ€¦ (More)

Let g be a complex simple Lie algebra and G its adjoint group. For a parabolic subgroup Q ( G, we denote by q its Lie algebra and q = n(q) + l(q) its Levi decomposition. For a nilpotent orbit Ot inâ€¦ (More)

A resolution Z â†’ X of a Poisson variety X is called Poisson if every Poisson structure on X lifts to a Poisson structure on Z. For symplectic varieties, we prove that Poisson resolutions coincideâ€¦ (More)

We prove that two projective symplectic resolutions of C2n/G are connected by Mukai flops in codimension 2 for a finite sub-group G < Sp(2n). It is also shown that two projective symplecticâ€¦ (More)

Contents 1 Basic definitions and properties 3 1. Introduction This is a survey written in an expositional style on the topic of symplectic singularities and symplectic resolutions, which could alsoâ€¦ (More)

We recover the wreath product X := Sym(C2/Â±1) as a transversal slice to a nilpotent orbit in sp6. By using deformations of Springer resolutions, we construct a symplectic deformation of symplecticâ€¦ (More)