Tropical curves, their Jacobians and Theta functions
Abstract
We study Jacobian varieties for tropical curves. These are real tori equipped with integral affine structure and symmetric bilinear form. We define tropical counterpart of the theta function and establish tropical versions of the AbelJacobi, RiemannRoch and Riemann theta divisor theorems.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 December 2006
 arXiv:
 arXiv:math/0612267
 Bibcode:
 2006math.....12267M
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Combinatorics
 EPrint:
 Journal version. Errors corrected, proofs improved, references added. 32 pages, 11 figures