A residue calculus approach to the uniform Artin-Rees lemma

被引：0
|
作者：
Jacob Sznajdman
机构：
[1] Chalmers University of Technology and Göteborg University,Mathematical Sciences
来源：
Israel Journal of Mathematics | 2013年 / 196卷
关键词：
Vector Bundle; Noetherian Ring; Division Problem; Membership Problem; Koszul Complex;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：33 / 50
页数：17
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