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arXiv · 1908.02086

Implicitization of tensor product surfaces via virtual projective resolutions

Eliana Duarte·Alexandra Seceleanu
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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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Eliana Duarte, Alexandra Seceleanu. 2019-08-06. Implicitization of tensor product surfaces via virtual projective resolutions. https://arxiv.org/abs/1908.02086

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