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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
65/2019

Implicitization of tensor product surfaces via virtual projective resolutions

Eliana Maria Duarte Gelvez and Alexandra Seceleanu

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.

Received:
Aug 8, 2019
Published:
Aug 8, 2019
MSC Codes:
13P15, 13D02, 14Q10
Keywords:
resultants, residual resultant, virtual resolution, implicitization

Related publications

inJournal
2020 Repository Open Access
Eliana Duarte and Alexandra Seceleanu

Implicitization of tensor product surfaces via virtual projective resolutions

In: Mathematics of computation, 89 (2020) 326, pp. 3023-3056