Bousfield localization on formal schemes
| dc.creator | Alonso, Leovigildo | |
| dc.creator | Jeremias, Ana | |
| dc.creator | Souto, Ma. -Jose | |
| dc.date | 2003-07-14 | |
| dc.date | 2004-02-17 | |
| dc.date.accessioned | 2026-07-07T04:59:38Z | |
| dc.date.available | 2026-07-07T04:59:38Z | |
| dc.description | Let (X, O_X) be a noetherian formal scheme and consider D_qct(X) its derived category of sheaves with quasi-coherent torsion homology. We show that there is a bijection between the set of rigid (i.e. \tensor-ideals) localizing subcategories of D_qct(X) and subsets in X, generalizing previous work by Neeman. If moreover X is separated, the associated localization and acyclization functors are described in certain cases. When Z is a stable for specialization subset of X, its associated acyclization is Γ_Z. When X is an scheme, the corresponding localizing subcategories are generated by perfect complexes and we recover Thomason's classification of thick subcategories. On the other hand, if Y is a generically stable subset of X, we give an expression for the associated localization functor. | |
| dc.description | Relaxed the separation hypothesis. Added connection with Thomason's classification of thick subcategories | |
| dc.identifier | https://arxiv.org/abs/math/0307189 | |
| dc.identifier | http://arxiv.org/abs/math/0307189 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68068 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Algebraic Topology | |
| dc.subject | 14F99; 14F05, 18E30 | |
| dc.title | Bousfield localization on formal schemes | |
| dc.type | text |