Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies

Details Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies Implicitization of Bihomogeneous Parametrizations of Algebraic Surfaces via Linear Syzygies

2007-08-30

arxiv.org/abs/0708.4230v1

Dans International Conference on Symbolic and Algebraic Computation (2007) 69 - 76

Mathematics

Algebraic Geometry

Scientific paper

10.1145/1277548.1277559

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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