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A global Briançon-Skoda-Huneke-Sznajdman theorem

Journal article
Authors Mats Andersson
Published in Mathematica Scandinavica
Volume 122
Issue 1
Pages 31-52
ISSN 0025-5521
Publication year 2018
Published at Department of Mathematical Sciences
Pages 31-52
Language en
Links https://doi.org/10.7146/math.scand....
Subject categories Mathematics

Abstract

We prove a global effective membership result for polynomials on a non-reduced algebraic subvariety of ℂN. It can be seen as a global version of a recent local result of Sznajdman, generalizing the Brian\c con-Skoda-Huneke theorem for the local ring of holomorphic functions at a point on a reduced analytic space.

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