What is the Rees Algebra of a Module?

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dc.creatorEisenbud, David
dc.creatorHuneke, Craig
dc.creatorUlrich, Bernd
dc.date2002-09-15
dc.date.accessioned2026-07-07T04:50:53Z
dc.date.available2026-07-07T04:50:53Z
dc.descriptionIn this paper we show that the Rees algebra can be made into a functor on modules over a ring in a way that extends its classical definition for ideals. The Rees algebra of a module M may be computed in terms of a "maximal" map f from M to a free module. It is the image of the map induced by f on symmetric algebras. We show that the analytic spread and reductions of M can be determined from any embedding of M into a free module, and in characteristic 0--but not in positive characteristic!--the Rees algebra itself can be computed from any such embedding.
dc.description8 pages, AMS-TeX. Accepted 8/2001 for the Proceedings of the American Mathematical Society
dc.identifierhttps://arxiv.org/abs/math/0209187
dc.identifierhttp://arxiv.org/abs/math/0209187
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64955
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13B21, 13C12, 13C15
dc.titleWhat is the Rees Algebra of a Module?
dc.typetext

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