Formes d’inertie et complexe de Koszul associés à des polynômes plurihomogènes
UFR de Géométrie Différentielle et Applications Faculté des Sciences Ben M’sik |
Faculté des Sciences et Techniques
Université de Haute Alsace |
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.