dc.contributor.author | Caravantes Tortajada, Jorge | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Sevilla, David | |
dc.contributor.author | Villarino Cabellos, Carlos | |
dc.date.accessioned | 2021-01-13T14:02:42Z | |
dc.date.available | 2021-01-13T14:02:42Z | |
dc.date.issued | 2018-05-01 | |
dc.identifier.bibliographicCitation | Caravantes, J., Sendra, J.R., Sevilla, D. & Villarino, C. 2018, "On the existence of birational surjective parametrizations of affine surfaces", Journal of Algebra, vol. 501, pp. 206-214. | |
dc.identifier.issn | 0021-8693 | |
dc.identifier.uri | http://hdl.handle.net/10017/45758 | |
dc.description.abstract | In this paper we show that not all affine rational complex surfaces can be parametrized birational and surjectively. For this purpose, we prove that, if S is an affine complex surface whose projective closure is smooth, a necessary condition for S to admit a birational surjective parametrization from an open subset of the affine complex plane is that the curve at infinity of S must contain at least one rational component. As a consequence of this result we provide examples of affine rational surfaces that do not admit birational surjective parametrizations. | en |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es_ES |
dc.description.sponsorship | Junta de Extremadura | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | © 2018 Elsevier | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Rational surface | en |
dc.subject | Birational parametrization | en |
dc.subject | Surjective parametrization | en |
dc.title | On the existence of birational surjective parametrizations of affine surfaces | 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.relation.publisherversion | https://doi.org/10.1016/j.jalgebra.2017.12.028 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1016/j.jalgebra.2017.12.028 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-54141-P/ES/CONSTRUCCIONES ALGEBRO-GEOMETRICAS: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/ | en |
dc.relation.projectID | FQM024 (Junta de Extremadura y FEDER) | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.publicationtitle | Journal of Algebra | |
dc.identifier.publicationvolume | 501 | |
dc.identifier.publicationlastpage | 214 | |
dc.identifier.publicationfirstpage | 206 | |