Classifying finite localizations of quasi-coherent sheaves
| dc.creator | Garkusha, Grigory | |
| dc.date | 2007-08-12 | |
| dc.date.accessioned | 2026-07-07T08:23:21Z | |
| dc.date.available | 2026-07-07T08:23:21Z | |
| dc.description | Given a quasi-compact, quasi-separated scheme X, a bijection between the tensor localizing subcategories of finite type in Qcoh(X) and the set of all subsets $Y\subseteq X$ of the form $Y=\bigcup_{i\inΩ}Y_i$, with $X\setminus Y_i$ quasi-compact and open for all $i\inΩ$, is established. As an application, there is constructed an isomorphism of ringed spaces (X,O_X)-->(Spec(Qcoh(X)),O_{Qcoh(X)}), where $(Spec(Qcoh(X)),O_{Qcoh(X)})$ is a ringed space associated to the lattice of tensor localizing subcategories of finite type. Also, a bijective correspondence between the tensor thick subcategories of perfect complexes $\perf(X)$ and the tensor localizing subcategories of finite type in Qcoh(X) is established. | |
| dc.identifier | https://arxiv.org/abs/0708.1622 | |
| dc.identifier | http://arxiv.org/abs/0708.1622 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135965 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | K-Theory and Homology | |
| dc.title | Classifying finite localizations of quasi-coherent sheaves | |
| dc.type | text |