Publication:
Atypical values at infinity of a polynomial function on the real plane: an erratum, and an algorithmic criterion

dc.contributor.authorCoste, M.
dc.contributor.authorPuente Muñoz, María Jesús de la
dc.date.accessioned2023-06-20T17:06:25Z
dc.date.available2023-06-20T17:06:25Z
dc.date.issued2001
dc.description.abstractWe correct a previously published theorem by proving a criterion to decide whether the fibration given by a real polynomial function f : R-2 --> R is locally trivial at infinity. The algorithmical nature of this criterion provides a test that can be applied to any real polynomial f.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGICYT
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17545
dc.identifier.citationJ. Bochnak, M. Coste, M.F. Roy, Real Algebraic Geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3 Folge, Band 36, Springer, Berlin, 1998. D. Duval, Rational Puiseux expansions, Compo. Math. 70 (1989) 119–154. J. Ferrera, M.J. de la Puente, The asymptotic values of a polynomial function on the real plane,J. Pure Appl. Algebra 106 (1996) 263–273. H.V. HUa, L.A. Nguyen, Le comportement geometrique Ua l’infini des polynomes de deux variablescomplexes, C. R. Acad. Sci. Paris serie I 309 (1989) 183–186. M. TibEar, A. Zaharia, Asymptotic behaviour of families of real curves, Manuscripta Math. 99 (1999)383–393.
dc.identifier.doi10.1016/S0022-4049(00)00111-0
dc.identifier.issn0022-4049
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0022404900001110
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57780
dc.issue.number1
dc.journal.titleJournal of Pure and Applied Algebra
dc.language.isoeng
dc.page.final35
dc.page.initial23
dc.publisherElsevier Science B.V. (North-Holland)
dc.relation.projectIDPB95-0354.
dc.rights.accessRightsrestricted access
dc.subject.cdu512.7
dc.subject.keywordFibration
dc.subject.keywordReal polynomial function
dc.subject.keywordValues at infinity
dc.subject.keywordalgorithm criterion
dc.subject.ucmGeometria algebraica
dc.subject.unesco1201.01 Geometría Algebraica
dc.titleAtypical values at infinity of a polynomial function on the real plane: an erratum, and an algorithmic criterion
dc.typejournal article
dc.volume.number162
dspace.entity.typePublication
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