Toric degenerations of toric varieties and tropical curves

Nishinou, Takeo; Siebert, Bernd

Duke Math. J., Tome 131 (2006) no. 1, p. 1-51 / Harvested from Project Euclid

Résumé

We show that the counting of rational curves on a complete toric variety which are in general position relative 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

Publié le : 2006-10-01
Classification: 14N10, 14M25, 14N35

@article{1159281063,
     author = {Nishinou, Takeo and Siebert, Bernd},
     title = {Toric degenerations of toric varieties and tropical curves},
     journal = {Duke Math. J.},
     volume = {131},
     number = {1},
     year = {2006},
     pages = { 1-51},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1159281063}
}

Nishinou, Takeo; Siebert, Bernd. Toric degenerations of toric varieties and tropical curves. Duke Math. J., Tome 131 (2006) no. 1, pp.  1-51. http://gdmltest.u-ga.fr/item/1159281063/