Extension dans un cadre algébrique d'une formule de Weil

Abstract:

Let R be a commutative A-algebra, and f=(f ₁,…,f _n ) a quasi-regular sequence such that P=R/(f) is finitely generated and projective over A. In the algebraic residue formalism due to J. Lipman, we propose the analog of an analytic Weil's formula. As applications, we first give some criterions for homomorphism from A[z] to A[z] to be finite when A is a n\oe therian ring, and then an algebraic proof of the usual analytic Weil's formula.