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
MSC-Numbers: 13P15, 13D02, 14Q10
Keywords and phrases: resultants, residual resultant, virtual resolution, implicitization
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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.