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oai:docta.ucm.es:20.500.14352/571822023-08-25T11:10:32Zcom_20.500.14352_14col_20.500.14352_15

Parametric generalized offsets to hypersurfaces Arrondo Esteban, Enrique Sendra, Juana Sendra, J. Rafael 512.7 Curves Geometria algebraica 1201.01 Geometría Algebraica 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. DGICYT Universidad de Alcalá DGICYT Depto. de Álgebra, Geometría y Topología Fac. de Ciencias Matemáticas TRUE pub 2023-06-20T16:50:09Z 2023-06-20T16:50:09Z 1997-03-02 journal article https://hdl.handle.net/20.500.14352/57182 0747-7171 10.1006/jsco.1996.0088 eng PB 93-0440-C03-01 Proj. 030/95 PB 95/0563-A restricted access application/pdf Academic Press