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arxiv: 1402.3219 · v2 · pith:DFUF2C6Lnew · submitted 2014-02-13 · 🧮 math.AC · math.AG

An intrinsic definition of the Rees algebra of a module

classification 🧮 math.AC math.AG
keywords definitionalgebraintrinsicmodulereesconcernsdividedeisenbud
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This paper concerns a generalization of the Rees algebra of ideals due to Eisenbud, Huneke and Ulrich that works for any finitely generated module over a noetherian ring. Their definition is in terms of maps to free modules. We give an intrinsic definition using divided powers.

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