Three-fold divisorial contractions to singularities of higher indices
| dc.creator | Kawakita, Masayuki | |
| dc.date | 2003-06-03 | |
| dc.date.accessioned | 2026-07-07T04:58:33Z | |
| dc.date.available | 2026-07-07T04:58:33Z | |
| dc.description | We complete the explicit study of a three-fold divisorial contraction whose exceptional divisor contracts to a point, by treating the case where the point downstairs is a singularity of index $n \ge 2$. We prove that if this singularity is of type c$A/n$ then any such contraction is a suitable weighted blow-up; and that if otherwise then the discrepancy is $1/n$ with a few exceptions. Every such exception has an example. Some exceptions allow the discrepancy to be arbitrarily large, but any contraction in this case is described as a weighted blow-up of a singularity of type c$D/2$ embedded into a cyclic quotient of a smooth five-fold. The erratum to the previous paper [14] is attached. | |
| dc.description | 55 pages | |
| dc.identifier | https://arxiv.org/abs/math/0306065 | |
| dc.identifier | http://arxiv.org/abs/math/0306065 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67682 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E30, 14E05 | |
| dc.title | Three-fold divisorial contractions to singularities of higher indices | |
| dc.type | text |