| dc.contributor.author | Tabera Alonso, Luis Felipe | |
| dc.contributor.other | Universidad de Cantabria | es_ES |
| dc.date.accessioned | 2014-09-25T12:56:58Z | |
| dc.date.available | 2014-09-25T12:56:58Z | |
| dc.date.issued | 2013-03 | |
| dc.identifier.issn | 0747-7171 | |
| dc.identifier.issn | 1095-855X | |
| dc.identifier.other | MTM2011-25816-C02-02 | |
| dc.identifier.uri | http://hdl.handle.net/10902/5252 | |
| dc.description.abstract | Let K be a field of characteristic zero and let α be an algebraic
element of degree n over K. Given a proper parametrization ψ
of a rational curve C with coefficients in K(α), we present
a new algorithm to compute the hypercircle associated to the
parametrization ψ. As a consequence, we can decide if C is defined
over K and, if not, we can compute the minimum field of definition
of C containing K. The algorithm exploits the structure of the
conjugate curves of C but avoids computing in the normal closure
of K(α) over K. | es_ES |
| dc.format.extent | 16 p. | es_ES |
| dc.language.iso | eng | es_ES |
| dc.publisher | Elsevier | es_ES |
| dc.rights | © 2013 Elsevier B.V. This is the author’s version of a work that was accepted for publication in Journal of Symbolic Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Symbolic Computation, Vol. 50, Pp. 450-464, (2013), DOI:10.1016/j.jsc.2012.09.001 | es_ES |
| dc.source | Journal of Symbolic Computation, Vol. 50, Pp. 450-464, (2013) | es_ES |
| dc.subject.other | Rational curve | es_ES |
| dc.subject.other | Hypercircle | es_ES |
| dc.subject.other | Algebraic extensions | es_ES |
| dc.title | Computing hypercircles by moving hyperplanes | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dc.relation.publisherVersion | http://dx.doi.org/10.1016/j.jsc.2012.09.001 | es_ES |
| dc.rights.accessRights | openAccess | es_ES |
| dc.identifier.DOI | 10.1016/j.jsc.2012.09.001 | |
| dc.type.version | acceptedVersion | es_ES |
