Implicitization of tensor product surfaces via virtual projective resolutions
Commutative Algebra
2019-08-07 v1 Algebraic Geometry
Rings and Algebras
Abstract
We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of the base point locus of the parametrization by means of constructing an explicit virtual projective resolution.
Cite
@article{arxiv.1908.02086,
title = {Implicitization of tensor product surfaces via virtual projective resolutions},
author = {Eliana Duarte and Alexandra Seceleanu},
journal= {arXiv preprint arXiv:1908.02086},
year = {2019}
}
Comments
30 pages