Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A residue calculus approach to the uniform Artin-Rees lemma   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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The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
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The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
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The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
3
The categories of this paper are: physics