Birational geometry of symplectic resolutions of nilpotent orbits II
| dc.creator | Namikawa, Yoshinori | |
| dc.date | 2004-08-20 | |
| dc.date | 2005-01-17 | |
| dc.date.accessioned | 2026-07-07T05:11:25Z | |
| dc.date.available | 2026-07-07T05:11:25Z | |
| dc.description | In this paper we shall study symplectic resolutions of a nilpotent orbit closure of a complex simple Lie algebra \g. We shall introduce an equivalence relation in the set of parabolic subgroups of $G$ in terms of marked Dynkin diagrams. We start with a nilpotent orbit closure which admits a Springer resolution with a parabolic subgroup $P_0$ of $G$. Then we prove that all symplectic resolution of the nilpotent closure are Springer resolutions with $P$ which are equivalent to $P_0$. Here all symplectic resolutions are connected by Mukai flops. We need three types of Mukai flops (types A, D and E_6) in connecting symplectic resolutions. In particular, Mukai flops of type E_6 are new. All arguments of Part I : math.AG/0404072 which use flags, are replaced by those which use only Dynkin diagrams. | |
| dc.description | Main results hold for arbitrary simple Lie algebras, that is, the conjectual part in the previous version is established | |
| dc.identifier | https://arxiv.org/abs/math/0408274 | |
| dc.identifier | http://arxiv.org/abs/math/0408274 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72235 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14 | |
| dc.title | Birational geometry of symplectic resolutions of nilpotent orbits II | |
| dc.type | text |