Resultants and Moving Surfaces

Details Resultants and Moving Surfaces Resultants and Moving Surfaces

2001-01-31

arxiv.org/abs/math/0101260v3

J. Symbolic Comput. 31 (2001), no. 5, 585--602.

Mathematics

Algebraic Geometry

21 pages, LaTex, uses academic.cls. To appear: Journal of Symbolic Computation

Scientific paper

We prove a conjectured relationship among resultants and the determinants
arising in the formulation of the method of moving surfaces for computing the
implicit equation of rational surfaces formulated by Sederberg. In addition, we
extend the validity of this method to the case of not properly parametrized
surfaces without base points.

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