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Tropical curves, their Jacobians and Theta functions

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.

preprint2007arXivOpen access
Grigory MikhalkinIlia Zharkov
math.COmath.AG
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Grigory MikhalkinIlia Zharkov

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