Implicitizing rational hypersurfaces using approximation complexes
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
In this paper we describe an algorithm for implicitizing rational hypersurfaces in case there exists at most a finite number of base points. It is based on a technique exposed in math.AG/0210096, where implicit equations are obtained as determinants of certain graded parts of a so-called approximation complex. We detail and improve this method by providing an in-depth study of the cohomology of such a complex. In both particular cases of interest of curve and surface implicitization we also yield explicit algorithms which only involves linear algebra routines.
Cite
@article{arxiv.math/0301238,
title = {Implicitizing rational hypersurfaces using approximation complexes},
author = {Laurent Buse and Marc Chardin},
journal= {arXiv preprint arXiv:math/0301238},
year = {2007}
}
Comments
20 pages