Parametric generalized offsets to hypersurfaces
| dc.contributor.author | Arrondo Esteban, Enrique | |
| dc.contributor.author | Sendra, Juana | |
| dc.contributor.author | Sendra, J. Rafael | |
| dc.date.accessioned | 2023-06-20T16:50:09Z | |
| dc.date.available | 2023-06-20T16:50:09Z | |
| dc.date.issued | 1997-03-02 | |
| dc.description.abstract | In this paper we extend the classical notion of offset to the concept of generalized offset to hypersurfaces. In addition, we present a complete theoretical analysis of the rationality and unirationality of generalized offsets. Characterizations for deciding whether the generalized offset to a hypersurface is parametric or it has two parametric components are given. As an application, an algorithm to analyse the rationality of the components of the generalized offset to a plane curve or to a surface, and to compute rational parametrizations of its rational components, is outlined. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGICYT | |
| dc.description.sponsorship | Universidad de Alcalá | |
| dc.description.sponsorship | DGICYT | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/14853 | |
| dc.identifier.doi | 10.1006/jsco.1996.0088 | |
| dc.identifier.issn | 0747-7171 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/journal/07477171 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57182 | |
| dc.journal.title | Journal of symbolic computation | |
| dc.language.iso | eng | |
| dc.page.final | 285 | |
| dc.page.initial | 267 | |
| dc.publisher | Academic Press | |
| dc.relation.projectID | PB 93-0440-C03-01 | |
| dc.relation.projectID | Proj. 030/95 | |
| dc.relation.projectID | PB 95/0563-A | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.keyword | Curves | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Parametric generalized offsets to hypersurfaces | |
| dc.type | journal article | |
| dc.volume.number | 23 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5bd88a9c-e3d0-434a-a675-3221b2fde0e4 |
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