On the exceptional locus of the birational projections of normal surface singularity into a plane
| dc.creator | Fernandez-Sanchez, Jesus | |
| dc.date | 2008-04-25 | |
| dc.date.accessioned | 2026-07-07T09:35:17Z | |
| dc.date.available | 2026-07-07T09:35:17Z | |
| dc.description | Given a normal surface singularity $(X, Q)$ and a birational morphism to a non- singular surface $π: X \to S$, we investigate the local geometry of the exceptional divisor $L$ of $π$. We prove that the dimension of the tangent space to $L$ at $Q$ equals the number of exceptional components meeting at $Q$. Consequences relative to the existence of such birational projections contracting a prescribed number of irreducible curves are deduced. A new characterization of minimal singularities is obtained in these terms. | |
| dc.description | 12 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0804.4062 | |
| dc.identifier | http://arxiv.org/abs/0804.4062 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159784 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14B05; 14E05; 14J17 | |
| dc.title | On the exceptional locus of the birational projections of normal surface singularity into a plane | |
| dc.type | text |