Extension of a Weil formula in an algebraic framework
type: Item
instance of: scholarly article
title: Extension of a Weil formula in an algebraic framework
zbMATH Open document ID: 0931.13018
author: Jean-Yves Boyer
author: Michel Hickel
published in: Manuscripta Mathematica
publication date: 1999-06-01T00:00:00Z
review text: The analytic Weil formula allows to express a germ of an analytic function (at the origin) as a power series involving the elements of a regular sequence of germs and some residues. The authors present an analog of this for the algebraic case by means of the theory of algebraic residues developed by \textit{J. Lipman} in ``Residues and traces of differential forms via Hochschild homology'', Contemp. Math. 61 (1987; Zbl 0606.14015). Several examples are presented and studied. Moreover, by means of the algebraic tools developed, the authors are able to give a purely algebraic proof of the usual analytic Weil formula. If \(A\) is a noetherian ring, some criteria for the finiteness of some homomorphisms from \(A[z]\) to \(A[z]\) are also given.
reviewed by: Eugen Pascu
Mathematics Subject Classification ID: 13N05
Mathematics Subject Classification ID: 32A27
Mathematics Subject Classification ID: 32C30
Mathematics Subject Classification ID: 13J10
zbMATH DE Number: 1275773
zbMATH Keywords: analytic Weil formula
zbMATH Keywords: noetherian ring complete with respect to the \(m\)-adic topology
MaRDI profile type: Publication
full work available at URL: s002290050135
OpenAlex ID: W2058399466
DOI: 10.1007/S002290050135
description: scientific article; zbMATH DE number 1275773