Mathematics – Algebraic Geometry
Scientific paper
2006-12-11
Mathematics
Algebraic Geometry
Journal version. Errors corrected, proofs improved, references added. 32 pages, 11 figures
Scientific paper
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.
Mikhalkin Grigory
Zharkov Ilia
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