Full paper in PDF:
$% A. Awane, A. Chkiriba, and M. Goze, Formes d’inertie et complexe de Koszul associés à des polynômes plurihomogènes, Rev. Mat. Complut. 18 (2005), no. 1, 243–260.%$

Formes d’inertie et complexe de Koszul associés à des polynômes plurihomogènes

Azzouz AWANE, Abdelouahab CHKIRIBA,
and Michel GOZE
UFR de Géométrie Différentielle et Applications

Faculté des Sciences Ben M’sik
B.P. 7955. Boulevard Driss Harti
Casablanca — Maroc

a.awane@univh2m.ac.ma a.chkiriba@univh2m.ac.ma
Faculté des Sciences et Techniques

Université de Haute Alsace
4, rue des Frères Lumière
F. 68093 Mulhouse Cedex

M.Goze@uha.fr
Received: November 3, 2003
Accepted: October 14, 2004
ABSTRACT

The existence of common zero of a family of polynomials has led to the study of inertial forms, whose homogeneous part of degree 0 constitutes the ideal resultant. The Kozsul and Čech cohomologies groups play a fundamental role in this study. An analogue of Hurwitz theorem is given, and also, one finds a N. H. McCoy theorem in a particular case of this study.

Key words: plurihomogeneous polynomials, inertial forms, Koszul complex, local cohomology.
2000 Mathematics Subject Classification: 13D45, 14XX, 14KXX.