Extension dans un cadre algébrique d'une formule de Weil
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- 作者：J.-Y. Boyer and M. Hickel
- 关键词：Mathematics Subject Classification (1991) ; 14F10 ; 13N05 ; 32A27
- 刊名：manuscripta mathematica
- 出版年：1999
- 出版时间：February 1999
- 年：1999
- 卷：98
- 期：2
- 页码：195-223
- 全文大小：177 KB
- 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics
Algebraic Geometry
Topological Groups and Lie Groups
Geometry
Number Theory
Calculus of Variations and Optimal Control - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-1785
文摘
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.