Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies
Algebraic Geometry
2007-09-04 v1 Symbolic Computation
Commutative Algebra
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.
Keywords
Cite
@article{arxiv.0708.4230,
title = {Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies},
author = {Laurent Busé and Marc Dohm},
journal= {arXiv preprint arXiv:0708.4230},
year = {2007}
}