Local cohomology of BP_*BP-comodules
| dc.creator | Hovey, Mark | |
| dc.creator | Strickland, Neil | |
| dc.date | 2003-01-21 | |
| dc.date.accessioned | 2026-07-07T04:54:35Z | |
| dc.date.available | 2026-07-07T04:54:35Z | |
| dc.description | In a previous paper, the authors showed that the category of E(n)_*E(n)-comodules is a localization of the category of BP_*BP-comodules. In this paper, we study the resulting localization functor L_n on the category of BP_*BP-comodules. It is an algebraic analogue of the usual topological localization L_n. It is left exact, so has right derived functors L_n^i. We show that these derived functors are closely related to the local cohomology groups of BP_*-modules studied by Greenlees and May; in fact, they coincide with Cech cohomology with respect to I_{n+1}. We also construct a spectral sequence of comodules analogous to the Greenlees-May spectral sequence (of modules) converging to BP_*(L_n X) whose E_2-term involves L_n^i(BP_*X). The proofs require getting a partial understanding of injective objects in the category of BP_*BP-comodules. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/math/0301231 | |
| dc.identifier | http://arxiv.org/abs/math/0301231 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66311 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55P60; 55N22; 13D45 | |
| dc.title | Local cohomology of BP_*BP-comodules | |
| dc.type | text |