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Stiffness of finite free resolutions and the Canonical Element Conjecture

Anne-Marie Simon·Jan R. Strooker
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Abstract

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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Anne-Marie Simon, Jan R. Strooker. 2003-01-23. Stiffness of finite free resolutions and the Canonical Element Conjecture. https://arxiv.org/abs/math/0301262

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