Implicitization of tensor product surfaces via virtual projective resolutions

Duarte, Eliana; Seceleanu, Alexandra

doi:10.1090/mcom/3548

Implicitization of tensor product surfaces via virtual projective resolutions
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by Eliana Duarte and Alexandra Seceleanu;

Math. Comp. 89 (2020), 3023-3056

DOI: https://doi.org/10.1090/mcom/3548

Published electronically: June 29, 2020

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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.

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