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arXiv · 0708.4230

Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies

Laurent Busé·Marc Dohm
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Abstract

We show that the implicit equation of a surface in 3-dimensional projective space parametrized by bi-homogeneous polynomials of bi-degree (d,d), for a given positive integer d, can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection.

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Laurent Busé, Marc Dohm. 2007-08-30. Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies. https://doi.org/10.1145/1277548.1277559

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