Primitive Collections and Toric Varieties
| dc.creator | Cox, David A. | |
| dc.creator | von Renesse, Christine | |
| dc.date | 2008-08-13 | |
| dc.date | 2008-09-03 | |
| dc.date.accessioned | 2026-07-07T09:59:53Z | |
| dc.date.available | 2026-07-07T09:59:53Z | |
| dc.description | This paper studies Batyrev's notion of primitive collection. We use primitive collections to characterize the nef cone of a quasi-projective toric variety whose fan has convex support, a result stated without proof by Batyrev in the smooth projective case. When the fan is non-simplicial, we modify the definition of primitive collection and explain how our definition relates to primitive collections of simplicial subdivisons. The paper ends with some open problems. | |
| dc.description | A new proof of Batyrev's theorem, based on ideas of Kresch, is included and Conjecture 4.4 has been deleted since it is wrong | |
| dc.identifier | https://arxiv.org/abs/0808.1836 | |
| dc.identifier | http://arxiv.org/abs/0808.1836 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168185 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25 | |
| dc.title | Primitive Collections and Toric Varieties | |
| dc.type | text |