Computing the homology of Koszul complexes
| dc.creator | Köck, Bernhard | |
| dc.date | 1998-09-29 | |
| dc.date | 1999-10-14 | |
| dc.date.accessioned | 2026-07-07T05:26:12Z | |
| dc.date.available | 2026-07-07T05:26:12Z | |
| dc.description | Let R be a commutative ring and I an ideal in R which is locally generated by a regular sequence of length d. Then, each projective R/I-module V has an R-projective resolution P. of length d. In this paper, we compute the homology of the n-th Koszul complex associated with the homomorphism P_1 --> P_0 for all n, if d = 1. This computation yields a new proof of the classical Adams-Riemann-Roch formula for regular closed immersions which does not use the deformation to the normal cone any longer. Furthermore, if d = 2, we compute the homology of the complex N Sym^2 K(P.) where K and N denote the functors occurring in the Dold-Kan correspondence. | |
| dc.description | 35 pages | |
| dc.identifier | https://arxiv.org/abs/math/9809175 | |
| dc.identifier | http://arxiv.org/abs/math/9809175 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77465 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.subject | Rings and Algebras | |
| dc.title | Computing the homology of Koszul complexes | |
| dc.type | text |