Proceedings of the American Mathematical Society

Author(s): Laurent Busé; Marc Chardin; Jean-Pierre Jouanolou
Journal: Proc. Amer. Math. Soc. 137 (2009), 1855-1865.
MSC (2000): Primary 13C12, 13D25, 13D45, 14E05, 14Q10
Posted: February 4, 2009
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Abstract: Recently, a method to compute the implicit equation of a parametrized hypersurface has been developed by the authors. We address here some questions related to this method. First, we prove that the degree estimate for the stabilization of the MacRae's invariant of $\operatorname{Sym}_{A}(I)_{\nu}$ is optimal. Then, we show that the extraneous factor that may appear in the process splits into a product of linear forms in the algebraic closure of the base field, each linear form being associated to a non-complete intersection base point. Finally, we make a link between this method and a resultant computation for the case of rational plane curves and space surfaces.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 13C12, 13D25, 13D45, 14E05, 14Q10

Laurent Busé
Affiliation: Galaad, INRIA, 2004 route des Lucioles, B.P. 93, 06902 Sophia Antipolis Cedex, France
Email: Laurent.Buse@inria.fr

Marc Chardin
Affiliation: Institut de Mathématiques de Jussieu, CNRS et Université Pierre et Marie Curie, 4 place Jussieu, F-75252 Paris Cedex 05, France
Email: chardin@math.jussieu.fr

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