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

Laurent Busé (1)

1 GALAAD - Geometry, algebra, algorithms

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.

Domaines: Géométrie algébrique [math.AG]; Algèbre commutative [math.AC]; Calcul formel [cs.SC]

Laurent Busé. On the equations of the moving curve ideal of a rational algebraic plane curve. Journal of Algebra, 2009, 321 (8), pp.2317-2344. ⟨10.1016/j.jalgebra.2009.01.030⟩. ⟨inria-00198350v2⟩