A residue calculus approach to the uniform Artin-Rees lemma

Details A residue calculus approach to the uniform Artin-Rees lemma A residue calculus approach to the uniform Artin-Rees lemma

2011-06-25

arxiv.org/abs/1106.5154v2

Mathematics

Commutative Algebra

16 pages, revised, to appear in Israel J. Math

Scientific paper

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.

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