Homology of powers of regular ideals
| dc.creator | Wüthrich, Samuel | |
| dc.date | 2003-08-27 | |
| dc.date.accessioned | 2026-07-07T05:00:38Z | |
| dc.date.available | 2026-07-07T05:00:38Z | |
| dc.description | For a commutative ring R with an ideal I, generated by a finite regular sequence, we construct differential graded algebras which provide R-free resolutions of I^s and of R/I^s for s>0 and which generalise the Koszul resolution. We derive these from a certain multiplicative double complex. By means of a Cartan-Eilenberg spectral sequence we express Tor_*^R(R/I,R/I^s) and Tor_*^R(R/I, I^s) in terms of exact sequences and find that they are free as R/I-modules. Except for R/I, their product structure turns out to be trivial; instead, we consider an exterior product. The paper is based on ideas by Andrew Baker; it is written in view of applications to algebraic topology. | |
| dc.description | 11 pages | |
| dc.identifier | https://arxiv.org/abs/math/0308263 | |
| dc.identifier | http://arxiv.org/abs/math/0308263 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68396 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Topology | |
| dc.subject | 13D02, 13D07 (Primary); 55U15 (Secondary) | |
| dc.title | Homology of powers of regular ideals | |
| dc.type | text |