Holomorphic bundles on 2-dimensional noncommutative toric orbifolds
| dc.creator | Polishchuk, Alexander | |
| dc.date | 2004-10-12 | |
| dc.date | 2004-11-15 | |
| dc.date.accessioned | 2026-07-07T05:13:11Z | |
| dc.date.available | 2026-07-07T05:13:11Z | |
| dc.description | We define the notion of a holomorphic bundle on the noncommutative toric orbifold $T_θ/G$ associated with an action of a finite cyclic group $G$ on an irrational rotation algebra. We prove that the category of such holomorphic bundles is abelian and its derived category is equivalent to the derived category of modules over a finite-dimensional algebras $Λ$. As an application we finish the computation of $K_0$-groups of the crossed product algebras describing the above orbifolds initiated by Kumjian, Walters and Buck. Also, we describe a torsion pair in the category of $Λ$-modules, such that the tilting with respect to this torsion pair gives the category of holomorphic bundles on $T_θ/G$. | |
| dc.description | Latex, 19 pages, references added | |
| dc.identifier | https://arxiv.org/abs/math/0410283 | |
| dc.identifier | http://arxiv.org/abs/math/0410283 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72855 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Quantum Algebra | |
| dc.title | Holomorphic bundles on 2-dimensional noncommutative toric orbifolds | |
| dc.type | text |