General sheaves over weighted projective lines
| dc.creator | Crawley-Boevey, William | |
| dc.date | 2005-12-04 | |
| dc.date | 2007-09-24 | |
| dc.date.accessioned | 2026-07-07T08:31:36Z | |
| dc.date.available | 2026-07-07T08:31:36Z | |
| dc.description | We develop a theory of general sheaves over weighted projective lines. We define and study a canonical decomposition, analogous to Kac's canonical decomposition for representations of quivers, study subsheaves of a general sheaf, general ranks of morphisms, and prove analogues of Schofield's results on general representations of quivers. Using these, we give a recursive algorithm for computing properties of general sheaves. Many of our results are proved in a more abstract setting, involving a hereditary abelian category. | |
| dc.description | 26 pages; one reference added and a change of notation | |
| dc.identifier | https://arxiv.org/abs/math/0512079 | |
| dc.identifier | http://arxiv.org/abs/math/0512079 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138544 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H60 (Primary) 16G20 (Secondary) | |
| dc.title | General sheaves over weighted projective lines | |
| dc.type | text |