### Impacto

### Downloads

Downloads per month over past year

Puente Muñoz, María Jesús de la
(2002)
*Real plane algebraic curves.*
Expositiones Mathematicae, 20
(4).
pp. 291-314.
ISSN 0723-0869

PDF
Restringido a Repository staff only 1MB |

Official URL: http://www.sciencedirect.com/science/article/pii/S0723086902800093

URL | URL Type |
---|---|

http://www.sciencedirect.com | Publisher |

## 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.

Item Type: | Article |
---|---|

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 21738 |

Deposited On: | 07 Jun 2013 14:17 |

Last Modified: | 12 Dec 2018 19:22 |

### Origin of downloads

Repository Staff Only: item control page