Jumping Numbers on Algebraic Surfaces with Rational Singularities
| dc.creator | Tucker, Kevin | |
| dc.date | 2008-01-04 | |
| dc.date | 2008-02-17 | |
| dc.date.accessioned | 2026-07-07T09:21:01Z | |
| dc.date.available | 2026-07-07T09:21:01Z | |
| dc.description | In this article, we study the jumping numbers of an ideal in the local ring at rational singularity on a complex algebraic surface. By understanding the contributions of reduced divisors on a fixed resolution, we are able to present an algorithm for finding of the jumping numbers of the ideal. This shows, in particular, how to compute the jumping numbers of a plane curve from the numerical data of its minimal resolution. In addition, the jumping numbers of the maximal ideal at the singular point in a Du Val or toric surface singularity are computed, and applications to the smooth case are explored. | |
| dc.description | Replaced Introduction, Includes Minor Revisions | |
| dc.identifier | https://arxiv.org/abs/0801.0734 | |
| dc.identifier | http://arxiv.org/abs/0801.0734 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154876 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05;14H20;14H20 | |
| dc.title | Jumping Numbers on Algebraic Surfaces with Rational Singularities | |
| dc.type | text |