Implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies

Authors:
Laurent Busé;Marc Dohm
Affiliations:
INRIA;Université de Nice
Venue:
Proceedings of the 2007 international symposium on Symbolic and algebraic computation
Year:
2007

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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 integer d ≥1 can be represented and computed from the linear syzygies of its parametrization if the base points are isolated and form locally a complete intersection.