Buchsbaum-Eisenbud complexes of OI-modules

Nathan Fieldsteel,Uwe Nagel

arXiv (Cornell University)（2022）

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摘要

We extend the theory of Koszul and Buchsbaum-Eisenbud complexes to modules over commutative OI-algebras and show that they still have the familiar properties of the classical complexes. In particular, the OI-complexes are generically acyclic and often provide width-wise minimal free resolutions.

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关键词

complexes,buchsbaum-eisenbud,oi-modules

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