On Simplicial Commutative Algebras with Finite Andre-Quillen Homology
| dc.creator | Turner, James M | |
| dc.date | 2003-07-09 | |
| dc.date.accessioned | 2026-07-07T04:59:31Z | |
| dc.date.available | 2026-07-07T04:59:31Z | |
| dc.description | L. Avramov, following D. Quillen, posed a conjecture to the effect that if $R \to A$ is a homomorphism of Noetherian rings then the André-Quillen homology on the category of A-modules satisfies: $D_{s}(A|R;-) = 0$ for $s\gg 0$ implies $D_{s}(A|R;-) = 0$ for s>2. In an earlier paper, the author posed an extended version of this conjecture which considered A to be a simplicial commutative R-algebra with Noetherian homotopy such that the characteristic of $π_{0}A$ is non-zero. In addition, a homotopy characterization of such algebras was described. The main goal of this paper is to develop a strategy for establishing this extended conjecture and provide a complete proof when R is Cohen-Macaulay of characteristic 2. | |
| dc.description | 20 pages; replaces math.AT/0201064 | |
| dc.identifier | https://arxiv.org/abs/math/0307113 | |
| dc.identifier | http://arxiv.org/abs/math/0307113 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68016 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Topology | |
| dc.subject | 13D03; 55U35 | |
| dc.title | On Simplicial Commutative Algebras with Finite Andre-Quillen Homology | |
| dc.type | text |