Restriction of A-Discriminants and Dual Defect Toric Varieties
| dc.creator | Curran, Raymond | |
| dc.creator | Cattani, Eduardo | |
| dc.date | 2005-10-27 | |
| dc.date | 2006-03-22 | |
| dc.date.accessioned | 2026-07-07T06:48:02Z | |
| dc.date.available | 2026-07-07T06:48:02Z | |
| dc.description | We study the $A$-discriminant of toric varieties. We reduce its computation to the case of irreducible configurations and describe its behavior under specialization of some of the variables to zero. We prove a Gale dual characterization of dual defect toric varieties and deduce from it the classsification of such varieties in codimension less than or equal to four. This classification motivates a decomposition theorem which yields a sufficient condition for a toric variety to be dual defect. For codimension less than or equal to four, this condition is also necessary and we expect this to be the case in general. | |
| dc.description | 22 pages; In addition to minor corrections, Section 5 has been expanded and rewritten to include a Gale dual characterization of dual defect toric varieties | |
| dc.identifier | https://arxiv.org/abs/math/0510615 | |
| dc.identifier | http://arxiv.org/abs/math/0510615 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/103852 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14M25; 13P05 | |
| dc.title | Restriction of A-Discriminants and Dual Defect Toric Varieties | |
| dc.type | text |