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Effective computation of base points of ideals in two-dimensional local rings
| dc.contributor.author | Alberich Carramiñana, Maria |
| dc.contributor.author | Álvarez Montaner, Josep |
| dc.contributor.author | Blanco Fernández, Guillem |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
| dc.date.accessioned | 2018-02-07T12:40:31Z |
| dc.date.available | 2020-01-04T01:25:53Z |
| dc.date.issued | 2018-01-04 |
| dc.identifier.citation | Alberich, M., Alvarez, J., Blanco, G. Effective computation of base points of ideals in two-dimensional local rings. "Journal of symbolic computation", 4 Gener 2018, vol.92, p. 93-109 |
| dc.identifier.issn | 0747-7171 |
| dc.identifier.uri | http://hdl.handle.net/2117/113901 |
| dc.description.abstract | © 2018 Elsevier Ltd. We provide an algorithm that allows to describe the minimal log-resolution of an ideal in a smooth complex surface from the minimal log-resolution of its generators. In order to make this algorithm effective we present a modified version of the Newton-Puiseux algorithm that computes the Puiseux decomposition of a product of not necessarily reduced or irreducible elements together with their algebraic multiplicity in each factor. |
| dc.language.iso | eng |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
| dc.subject.lcsh | Algebraic geometry |
| dc.subject.other | Minimal log-resolution |
| dc.subject.other | Newton-Puiseux algorithm |
| dc.subject.other | weighted clusters |
| dc.title | Effective computation of base points of ideals in two-dimensional local rings |
| dc.type | Article |
| dc.subject.lemac | Geometria algebraica |
| dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
| dc.identifier.doi | 10.1016/j.jsc.2018.01.001 |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S0747717118300014?via%3Dihub |
| dc.rights.access | Open Access |
| local.identifier.drac | 21715417 |
| dc.description.version | Postprint (author's final draft) |
| local.citation.author | Alberich, M.; Alvarez, J.; Blanco, G. |
| local.citation.publicationName | Journal of symbolic computation |
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