A residue calculus approach to the uniform Artin-Rees lemma

作者:Sznajdman Jacob*
来源:Israel Journal of Mathematics, 2013, 196(1): 33-50.
DOI:10.1007/s11856-012-0141-x

摘要

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 and a method involving complexes of Hermitian vector bundles. 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.

  • 出版日期2013-8

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