Dynkin diagrams and crepant resolutions of quotient singularities
| dc.creator | Kaledin, D. | |
| dc.date | 1999-03-27 | |
| dc.date.accessioned | 2026-07-07T05:28:29Z | |
| dc.date.available | 2026-07-07T05:28:29Z | |
| dc.description | Let $V$ be a complex vector space on which a finite group $G$ acts by linear transformations. Let $W = V \oplus V^*$ be the sum of $V$ with its dual $V^*$. We prove that if the quotient $W/G$ admits a smooth crepant resolution, then the subgroup $G \subset Aut V$ is generated by complex reflections. We also obtain some results on the structure of smooth crepant resolutions of the quotients $W/G$, where $W$ is a symplectic vector space, and $G \subset Aut W$ is a finite group of symplectic linear transformations of the vector space $W$. | |
| dc.description | 30 pages, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/9903157 | |
| dc.identifier | http://arxiv.org/abs/math/9903157 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78276 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Dynkin diagrams and crepant resolutions of quotient singularities | |
| dc.type | text |