Formal Desingularization of Surfaces - The Jung Method Revisited -
| dc.creator | Beck, T. | |
| dc.date | 2008-01-15 | |
| dc.date.accessioned | 2026-07-07T08:54:33Z | |
| dc.date.available | 2026-07-07T08:54:33Z | |
| dc.description | In this paper we propose the concept of formal desingularizations as a substitute for the resolution of algebraic varieties. Though a usual resolution of algebraic varieties provides more information on the structure of singularities there is evidence that the weaker concept is enough for many computational purposes. We give a detailed study of the Jung method and show how it facilitates an efficient computation of formal desingularizations for projective surfaces over a field of characteristic zero, not necessarily algebraically closed. The paper includes a generalization of Duval's Theorem on rational Puiseux parametrizations to the multivariate case and a detailed description of a system for multivariate algebraic power series computations. | |
| dc.description | 33 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/0801.2282 | |
| dc.identifier | http://arxiv.org/abs/0801.2282 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145976 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14E15 (Primary); 14Q10, 14B20 (Secondary) | |
| dc.title | Formal Desingularization of Surfaces - The Jung Method Revisited - | |
| dc.type | text |