Implicitization of tensor product surfaces via virtual projective resolutions

Eliana Maria Duarte Gelvez and Alexandra Seceleanu

Contact the author: Please use for correspondence this email.
Submission date: 08. Aug. 2019
Pages: 32
Bibtex
MSC-Numbers: 13P15, 13D02, 14Q10
Keywords and phrases: resultants, residual resultant, virtual resolution, implicitization
Download full preprint: PDF (333 kB)
Link to arXiv: See the arXiv entry of this preprint.

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.