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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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 |
|---|---|
| Uncontrolled Keywords: | Curves |
| Subjects: | Sciences > Mathematics > Algebraic geometry |
| ID Code: | 14853 |
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| Deposited On: | 18 Apr 2012 12:32 |
| Last Modified: | 18 Apr 2012 12:32 |
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