RT Journal Article T1 Parametric generalized offsets to hypersurfaces A1 Arrondo Esteban, Enrique A1 Sendra, Juana A1 Sendra, J. Rafael AB 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. PB Academic Press SN 0747-7171 YR 1997 FD 1997-03-02 LK https://hdl.handle.net/20.500.14352/57182 UL https://hdl.handle.net/20.500.14352/57182 LA eng NO DGICYT NO Universidad de Alcalá NO DGICYT DS Docta Complutense RD 9 abr 2025