On Simplicial Commutative Rings with Vanishing André-Quillen Homology

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dc.creatorTurner, James M.
dc.date1997-07-31
dc.date1997-08-11
dc.date.accessioned2026-07-07T09:01:53Z
dc.date.available2026-07-07T09:01:53Z
dc.descriptionWe propose a generalization of a conjecture of D. Quillen, on the vanishing of André-Quillen homology, to simplicial commutative rings. This conjecture characterizes a notion of local complete intersection, extended to the simplicial setting, under a suitable hypothesis on the local characteristic. Further, under the condition of finite-type homology, we then prove the conjecture in the case of a simplicial commutative algebra augmented over a field of non-zero characteristic. As a consequence, we obtain a proof of Quillen's conjecture for a Noetherian commutative algebra - again augmented over a field of non-zero characteristic.
dc.description14 pages, LaTeX2e
dc.identifierhttps://arxiv.org/abs/alg-geom/9707018
dc.identifierhttp://arxiv.org/abs/alg-geom/9707018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148437
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectQuantum Algebra
dc.subjectPrimary: 13D03, 18G30, 18G55; Secondary: 13D40, 18G20, 55S45, 55T10
dc.titleOn Simplicial Commutative Rings with Vanishing André-Quillen Homology
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