A residue calculus approach to the uniform Artin-Rees lemma
Commutative Algebra
2012-03-27 v2 Complex Variables
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.
Keywords
Cite
@article{arxiv.1106.5154,
title = {A residue calculus approach to the uniform Artin-Rees lemma},
author = {Jacob Sznajdman},
journal= {arXiv preprint arXiv:1106.5154},
year = {2012}
}
Comments
16 pages, revised, to appear in Israel J. Math