Real plane algebraic curves.
| dc.contributor.author | Puente Muñoz, María Jesús De La | |
| dc.date.accessioned | 2023-06-20T18:45:59Z | |
| dc.date.available | 2023-06-20T18:45:59Z | |
| dc.date.issued | 2002 | |
| dc.description.abstract | We study real algebraic plane curves, at an elementary level, using as little algebra as possible. Both cases, affine and projective, are addressed. A real curve is infinite, finite or empty according to the fact that a minimal polynomial for the curve is indefinite, semi-definite nondefinite or definite. We present a discussion about isolated points. By means of the P operator, these points can be easily identified for curves defined by minimal polynomials of order bigger than one. We also discuss the conditions that a curve must satisfy in order to have a minimal polynomial. Finally, we list the most relevant topological properties of affine and projective, complex and real plane algebraic curves. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/21738 | |
| dc.identifier.doi | 10.1016/S0723-0869(02)80009-3 | |
| dc.identifier.issn | 0723-0869 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0723086902800093 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58550 | |
| dc.issue.number | 4 | |
| dc.journal.title | Expositiones Mathematicae | |
| dc.language.iso | eng | |
| dc.page.final | 314 | |
| dc.page.initial | 291 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 512.7 | |
| dc.subject.ucm | Geometria algebraica | |
| dc.subject.unesco | 1201.01 Geometría Algebraica | |
| dc.title | Real plane algebraic curves. | |
| dc.type | journal article | |
| dc.volume.number | 20 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 630e203d-3f7d-46d6-a43c-cb07da8c4b71 | |
| relation.isAuthorOfPublication.latestForDiscovery | 630e203d-3f7d-46d6-a43c-cb07da8c4b71 |
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