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Anisotropic resultant. Complements and applications. (Résultant anisotrope. Compléments et applications.) (French) Zbl 0863.13002

Electron. J. Comb. 3, No. 2, Research paper R2, 91 p. (1996); printed version J. Comb. 3, No. 2, 35-125 (1996).
This paper is a detailed study of the anisotropic resultant introduced by the author in Adv. Math. 90, No. 2, 117-263 (1991; Zbl 0747.13007). Many statements and formulas established previously by the author somehow in the classical situation are presented here in the case of the anisotropic resultant. For example a study of the Grothendieck duality on the complete intersection case gives all the inertia forms proved previously in “Formes d’inertie et resultant: un formulaire” (IRMA Strasbourg, 1992)]. The exposition mixes pleasantly the modern methods of algebraic geometry with the old ones and contains several geometrical applications and a lot of nice examples.

MSC:

13B25 Polynomials over commutative rings
14M05 Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal)
14M10 Complete intersections

Citations:

Zbl 0747.13007
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