Tropical curves, their Jacobians and Theta functions
Algebraic Geometry
2011-11-09 v2 Combinatorics
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 Abel-Jacobi, Riemann-Roch and Riemann theta divisor theorems.
Cite
@article{arxiv.math/0612267,
title = {Tropical curves, their Jacobians and Theta functions},
author = {Grigory Mikhalkin and Ilia Zharkov},
journal= {arXiv preprint arXiv:math/0612267},
year = {2011}
}
Comments
Journal version. Errors corrected, proofs improved, references added. 32 pages, 11 figures