Stiffness of finite free resolutions and the Canonical Element Conjecture
Commutative Algebra
2016-09-07 v1
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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Cite
@article{arxiv.math/0301262,
title = {Stiffness of finite free resolutions and the Canonical Element Conjecture},
author = {Anne-Marie Simon and Jan R. Strooker},
journal= {arXiv preprint arXiv:math/0301262},
year = {2016}
}
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11 pages