EXPLICIT FACTORS OF SOME ITERATED RESULTANTS AND DISCRIMINANTS (2009)
Laurent Busé, Bernard Mourrain, Dedicated Professor, Jean-pierre Jouanolou
Abstract. In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials of a...
Torsion of the symmetric algebra and implicitization (2009)
Busé, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
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...
Torsion of the symmetric algebra and implicitization (2009)
Busé, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
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...
Busé, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
Recently, a method to compute the implicit equation of a parameterized hypersurface has been developed by the authors. We address here some questions related to this method : optimality of a degree...
Busé, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
Recently, a method to compute the implicit equation of a parameterized hypersurface has been developed by the authors. We address here some questions related to this method : optimality of a degree...
Torsion of the symmetric algebra and implicitization (2006)
Buse, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
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...
An explicit duality for quasi-homogeneous ideals (2006)
Given r>=n quasi-homogeneous polynomials in n variables, the existence of a certain duality is shown and explicited in terms of generalized Morley forms. This result, that can be seen as a...
Busé, Laurent, Chardin, Marc, Jouanolou, Jean-Pierre
Recently, a method to compute the implicit equation of a parameterized hypersurface has been developed by the authors. We address here some questions related to this method : optimality of a degree...
On the closed image of a rational map and the implicitization problem (2003)
Busé, Laurent, Jouanolou, Jean-Pierre
In this paper, we investigate some topics around the closed image $S$ of a rational map $\lambda$ given by some homogeneous elements $f_1,\ldots,f_n$ of the same degree in a graded algebra $A$. We...
On the closed image of a rational map and the implicitization problem (2003)
Busé, Laurent, Jouanolou, Jean-Pierre
In this paper, we investigate some topics around the closed image $S$ of a rational map $\lambda$ given by some homogeneous elements $f_1,\ldots,f_n$ of the same degree in a graded algebra $A$. We...
On the closed image of a rational map and the implicitization problem (2003)
Busé, Laurent, Jouanolou, Jean-Pierre
In this paper, we investigate some topics around the closed image $S$ of a rational map $\lambda$ given by some homogeneous elements $f_1,\ldots,f_n$ of the same degree in a graded algebra $A$. We...
On the closed image of a rational map and the implicitization problem (2002)
Buse, Laurent, Jouanolou, Jean-Pierre
In this paper, we investigate some topics around the closed image $S$ of a rational map $\lambda$ given by some homogeneous elements $f_1,...,f_n$ of the same degree in a graded algebra $A$. We first...