A residue calculus approach to the uniform Artin-Rees lemma

Abstract

The uniform Artin-Rees lemma has been proved by C. Huneke using algebraic methods. We give a new proof for this result in the analytic setting using residue calculus. We also have to introduce a type of product of complexes of vector bundles, which may be applicable in the solution of other division problems with respect to product ideals.

arXiv comment16 pages, revised, to appear in Israel J. Math

References in corpus (1)

• Various approaches to products of residue currents