A noncommutative version of Beilinson's Theorem
| dc.creator | Minamoto, Hiroyuki | |
| dc.date | 2007-02-28 | |
| dc.date | 2007-09-09 | |
| dc.date.accessioned | 2026-07-07T08:28:03Z | |
| dc.date.available | 2026-07-07T08:28:03Z | |
| dc.description | We prove that the category of representations of the N-Kronecker quiver and that of coherent sheaves on the noncommutative projective scheme of $R=k< X_1,...,X_N >/(\sum^N_{i=1}X_i^2)$ are derived equivalent. This equivalence is easily proved by applying Orlov's Theorem, on the other hand,in our proof,the quadratic relation $\sum_{i=1}^NX_i^2$ naturally arises from Auslander-Reiten Theory. | |
| dc.description | 16 pages. This paper is formerly named "Auslander-Reiten theory and noncommutative projective schemes" | |
| dc.identifier | https://arxiv.org/abs/math/0702861 | |
| dc.identifier | http://arxiv.org/abs/math/0702861 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/137481 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Rings and Algebras | |
| dc.subject | 16G70,14A22,16G20 | |
| dc.title | A noncommutative version of Beilinson's Theorem | |
| dc.type | text |