Polynomial and regular images of R-n
| dc.contributor.author | Fernando Galván, José Francisco | |
| dc.contributor.author | Gamboa Mutuberria, José Manuel | |
| dc.date.accessioned | 2023-06-20T09:33:37Z | |
| dc.date.available | 2023-06-20T09:33:37Z | |
| dc.date.issued | 2006 | |
| dc.description.abstract | We obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | GAAR | |
| dc.description.sponsorship | RAAG | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15144 | |
| dc.identifier.doi | 10.1007/BF02771779 | |
| dc.identifier.issn | 0021-2172 | |
| dc.identifier.officialurl | http://www.springerlink.com/content/0021-2172/ | |
| dc.identifier.relatedurl | http://www.springerlink.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/49904 | |
| dc.journal.title | Israel Journal of Mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 92 | |
| dc.page.initial | 61 | |
| dc.publisher | Hebrew University Magnes Press | |
| dc.relation.projectID | BFM2002-0479 | |
| dc.relation.projectID | HPRNCT-CT-2001-00271 | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Polynomial and regular images of R-n | |
| dc.type | journal article | |
| dc.volume.number | 153 | |
| dcterms.references | J. Bochnak, M. Coste and M.-F. Roy, Gdomdtrie algdbrique rdelle, Ergebnisse der Mathematik 12, Springer-Verlag, Berlin-Heidelberg-New York, 1987. J. F. Fernando and J. M. Gamboa, Polynomial images ofR ~, Journal of Pure and Applied Algebra 179 (2003), 241-254. Z. Jelonek, A geometry of polynomial transformations of the real plane,Bulletin of the Polish Academy of Sciences. Mathematics 48 (2000), 57-62. Z. Jelonek, Geometry of real polynomial mappings, Mathematische Zeitschrift 239 (2002), 321-333. E. NSther, K6rper und Systeme rationaler Funktionen, Mathematische Annalen 76 (1915), 161-196. A. Schinzel, Selected Topics on Polynomials, The University of Michigan Press, Ann Arbor, 1982. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 499732d5-c130-4ea6-8541-c4ec934da408 | |
| relation.isAuthorOfPublication | 8fcb811a-8d76-49a2-af34-85951d7f3fa5 | |
| relation.isAuthorOfPublication.latestForDiscovery | 499732d5-c130-4ea6-8541-c4ec934da408 |
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