Picard-graded Betti numbers and the defining ideals of Cox rings
| dc.creator | Laface, Antonio | |
| dc.creator | Velasco, Mauricio | |
| dc.date | 2007-07-22 | |
| dc.date.accessioned | 2026-07-07T08:19:38Z | |
| dc.date.available | 2026-07-07T08:19:38Z | |
| dc.description | Let X be a smooth projective variety with torsion-free Picard group. We introduce complexes of vector spaces whose homology determines the structure of the minimal free resolution of the Cox ring of X over the polynomial ring and show how the homology of these complexes can be studied by purely geometric methods. As an application of these techniques we give a simple new proof of a characterization of the Cox rings of Del Pezzo surfaces (of degree >1) conjectured by Batyrev and Popov. | |
| dc.description | 21 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0707.3251 | |
| dc.identifier | http://arxiv.org/abs/0707.3251 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134829 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.title | Picard-graded Betti numbers and the defining ideals of Cox rings | |
| dc.type | text |