Toric degenerations of toric varieties and tropical curves
| dc.creator | Nishinou, Takeo | |
| dc.creator | Siebert, Bernd | |
| dc.date | 2004-09-04 | |
| dc.date | 2006-03-06 | |
| dc.date.accessioned | 2026-07-07T06:38:46Z | |
| dc.date.available | 2026-07-07T06:38:46Z | |
| dc.description | We show that the counting of rational curves on a complete toric variety that are in general position to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory. This generalizes results of Mikhalkin obtained by different methods in the surface case to arbitrary dimensions. | |
| dc.description | 41 pages, 3 figures; (v3: Multiplicity definition and Prop.6.3 corrected, Example 9.2,(4) added) | |
| dc.identifier | https://arxiv.org/abs/math/0409060 | |
| dc.identifier | http://arxiv.org/abs/math/0409060 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100857 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N10; 14M25; 14N35 | |
| dc.title | Toric degenerations of toric varieties and tropical curves | |
| dc.type | text |