HAL - INRIA :: [inria-00168956, version 1] Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies

inria-00168956, version 1

Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies

Laurent Busé ()^a^, 1, Marc Dohm ()^b^, 1, 2

International Conference on Symbolic and Algebraic Computation (ISSAC) (2007) 69-76

Abstract: We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree (d,d), for a given positive integer d, can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection.

a – INRIA
b – Université de Nice Sophia-Antipolis
1: GALAAD (INRIA Sophia Antipolis)
INRIA – CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS)
2: Laboratoire Jean Alexandre Dieudonné (JAD)
CNRS : UMR6621 – Université de Nice Sophia Antipolis (UNS)

inria-00168956, version 1
http://hal.inria.fr/inria-00168956
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From: Laurent Busé <>
Submitted on: Thursday, 30 August 2007 20:59:52
Updated on: Monday, 7 February 2011 11:45:44

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arXiv: 0708.4230

DOI: 10.1145/1277548.1277559

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