Výsledky vyhledávání - "Jean-Pierre Jouanolou"

On the Discriminant Scheme of Homogeneous Polynomials

Autor: Laurent Busé, Jean-Pierre Jouanolou

Publikováno v: Mathematics in Computer Science
Mathematics in Computer Science, Springer, 2014, Special Issue in Computational Algebraic Geometry, 8 (2), pp.175-234. ⟨10.1007/s11786-014-0188-7⟩
Mathematics in Computer Science, 2014, Special Issue in Computational Algebraic Geometry, 8 (2), pp.175-234. ⟨10.1007/s11786-014-0188-7⟩

In this paper, the discriminant scheme of homogeneous polynomials is studied in two particular cases: the case of a single homogeneous polynomial and the case of a collection of n − 1 homogeneous polynomials in $${n\geqslant 2}$$ variables. In both

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https://doi.org/10.1007/s11786-014-0188-7

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An explicit duality for quasi-homogeneous ideals

Autor: Jean-Pierre Jouanolou

Publikováno v: Journal of Symbolic Computation. 44:864-871

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 generalization of [3,corollary 3.6.1.4] (where this duality i

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https://doi.org/10.1016/j.jsc.2008.04.011

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On the closed image of a rational map and the implicitization problem

Autor: Jean-Pierre Jouanolou, Laurent Busé

Publikováno v: Journal of Algebra
Journal of Algebra, 2003, 265 (1), pp.312--357
Journal of Algebra, Elsevier, 2003, 265 (1), pp.312--357

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 compute the degree of this closed image in case $\

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The eventual stability of depth, associated primes and cohomology of a graded module

Autor: Marc Chardin, Ahad Rahimi, Jean-Pierre Jouanolou

Publikováno v: Journal of Commutative Algebra
Journal of Commutative Algebra, 2013, 5 (1), pp.63-92. ⟨10.1216/JCA-2013-5-1-63⟩
J. Commut. Algebra 5, no. 1 (2013), 63-92
Journal of Commutative Algebra, Rocky Mountain Mathematics Consortium, 2013, 5 (1), pp.63-92. ⟨10.1216/JCA-2013-5-1-63⟩

International audience; The asymptotic stability of several homological invariants of the graded pieces of a graded module has attracted quite a lot of attention over the last decades. We provide in this text several stability results together with e

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Torsion of the symmetric algebra and implicitization

Autor: Laurent Busé, Marc Chardin, Jean Pierre Jouanolou

Publikováno v: Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society, American Mathematical Society, 2009, 137 (6), pp.1855-1865
Proceedings of the American Mathematical Society, 2009, 137 (6), pp.1855-1865

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�

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