Stiffness of finite free resolutions and the Canonical Element Conjecture

Details Stiffness of finite free resolutions and the Canonical Element Conjecture Stiffness of finite free resolutions and the Canonical Element Conjecture

2003-01-23

arxiv.org/abs/math/0301262v1

Mathematics

Commutative Algebra

11 pages

Scientific paper

Over a noetherian local ring certain minimal finite free resolutions possess a property which we call stiffness. This calls to mind the Buchsbaum-Eisenbud criterion for exactness. Yet we only prove stiffness over equicharacteristic rings. However, Hochster's Canonical Element Conjecture is shown to be true for every ring with a fixed prime residual characteristic, precisely when every resolution over each Gorenstein ring of this type is stiff.

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