Arrondo Esteban, Enrique and Sendra, Juana and Sendra, J. Rafael
(1997)
*Parametric generalized offsets to hypersurfaces.*
Journal of symbolic computation, 23
.
pp. 267-285.
ISSN 0747-7171

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Official URL: http://www.sciencedirect.com/science/journal/07477171

## Abstract

In this paper we extend the classical notion of offset to the concept of generalized offset to hypersurfaces. In addition, we present a complete theoretical analysis of the rationality and unirationality of generalized offsets. Characterizations for deciding whether the generalized offset to a hypersurface is parametric or it has two parametric components are given. As an application, an algorithm to analyse the rationality of the components of the generalized offset to a plane curve or to a surface, and to compute rational parametrizations of its rational components, is outlined.

Item Type: | Article |
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Uncontrolled Keywords: | Curves |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 14853 |

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Deposited On: | 18 Apr 2012 10:32 |

Last Modified: | 06 Feb 2014 10:10 |

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