On the equations of the moving curve ideal of a rational algebraic plane curve

Details On the equations of the moving curve ideal of a rational algebraic plane curve On the equations of the moving curve ideal of a rational algebraic plane curve

2007-12-17

arxiv.org/abs/0712.2671v2

Mathematics

Algebraic Geometry

Journal of Algebra (2009)

Scientific paper

Given a parametrization of a rational plane algebraic curve C, some explicit adjoint pencils on C are described in terms of determinants. Moreover, some generators of the Rees algebra associated to this parametrization are presented. The main ingredient developed in this paper is a detailed study of the elimination ideal of two homogeneous polynomials in two homogeneous variables that form a regular sequence.

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