dc.contributor.author | Pérez Díaz, Sonia | |
dc.date.accessioned | 2021-10-01T15:28:17Z | |
dc.date.issued | 2021-03-01 | |
dc.identifier.bibliographicCitation | Pérez Díaz, Sonia. 2021, “The T-function of a parametric curve”, Quaestiones Mathematicae, DOI: 10.2989/16073606.2021.1895899. | |
dc.identifier.issn | 1607-3606 | |
dc.identifier.uri | http://hdl.handle.net/10017/49498 | |
dc.description.abstract | In this paper, we introduce the T–function, T(s), which is a polynomial defined by means of a univariate resultant constructed from
a given parametrization P(t) ∈ K(t)
n
, n ≥ 2 of an algebraic space
curve C. It is shown that T(s) = Qn
i=1 HPi
(s)
mi−1
, where HPi
(s), i =
1, . . . , n are polynomials (the fibre functions) whose roots are the fibre
of the ordinary singularities Pi ∈ C of multiplicity mi
, i = 1, . . . , n of
C. Therefore, a complete classification of the singularities of C, via the
factorization of a resultant, is obtained. | en |
dc.description.sponsorship | Agencia Estatal de Investigación | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Taylor & Francis | |
dc.publisher | NISC | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © Taylor & Francis 2021 | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Singularities of an algebraic curve | en |
dc.subject | Multiplicity of a point | en |
dc.subject | Resultant | en |
dc.subject | T-function | en |
dc.subject | Fibre function | en |
dc.subject | Rational curve parametrization | en |
dc.title | The T-function of a parametric curve | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2021-10-01T15:27:31Z | |
dc.relation.publisherversion | https://doi.org/10.2989/16073606.2021.1895899 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.2989/16073606.2021.1895899 | |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/ | es_ES |
dc.date.embargoEndDate | 2022-03-01 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000036271 | |
dc.identifier.publicationtitle | Quaestiones Mathematicae | |