Vanishing Theorems on Toric Varieties
| dc.creator | Mustata, Mircea | |
| dc.date | 2000-01-25 | |
| dc.date | 2001-05-24 | |
| dc.date.accessioned | 2026-07-07T06:29:52Z | |
| dc.date.available | 2026-07-07T06:29:52Z | |
| dc.description | We use Cox's description for sheaves on toric varieties and results about the local cohomology with respect to monomial ideals to give a characteristic free approach to vanishing results on arbitrary toric varieties. As an application, we give a proof of a strong form of Fujita's conjecture in the case of toric varieties. We also prove that every sheaf on a toric variety corresponds to a module over the homogeneous coordinate ring, generalizing Cox's result for the simplicial case. | |
| dc.description | 21 pages. Revised version, to appear in Tohoku Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0001142 | |
| dc.identifier | http://arxiv.org/abs/math/0001142 | |
| dc.identifier | Toho ku Math. J.(2) 54 (2002), 451--470. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98189 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Commutative Algebra | |
| dc.subject | 14M25 (Primary); 14F17 (Secondary) | |
| dc.title | Vanishing Theorems on Toric Varieties | |
| dc.type | text |