Preprint 65/2019

Implicitization of tensor product surfaces via virtual projective resolutions

Eliana Maria Duarte Gelvez and Alexandra Seceleanu

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Submission date: 08. Aug. 2019
Pages: 32
Bibtex
MSC-Numbers: 13P15, 13D02, 14Q10
Keywords and phrases: resultants, residual resultant, virtual resolution, implicitization
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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.

11.08.2019, 02:16