On the Cox ring of Del Pezzo surfaces
| dc.creator | Derenthal, Ulrich | |
| dc.date | 2006-03-04 | |
| dc.date.accessioned | 2026-07-07T07:06:32Z | |
| dc.date.available | 2026-07-07T07:06:32Z | |
| dc.description | Let S_r be the blow-up of P^2 in r general points, i.e., a smooth Del Pezzo surface of degree 9-r. For r <= 7, we determine the quadratic equations defining its Cox ring explicitly. The ideal of the relations in Cox(S_8) is calculated up to radical. As conjectured by Batyrev and Popov, all the generating relations are quadratic. | |
| dc.description | 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0603111 | |
| dc.identifier | http://arxiv.org/abs/math/0603111 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/110061 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14J26 (Primary) 14C20 (Secondary) | |
| dc.title | On the Cox ring of Del Pezzo surfaces | |
| dc.type | text |