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Jacobian varieties of reduced tropical curves

Shuhei Yoshitomi
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Abstract

On tropical geometry in $\rr^2$, the divisor and the Jacobian variety are defined in analogy to algebraic geometry. For study of these objects, it is important to think of the `bunch' of a tropical curve. In this paper, we will show that if the bunch is a bouquet, then the Jacobian is a higher-dimensional torus.

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Shuhei Yoshitomi. 2006-12-28. Jacobian varieties of reduced tropical curves. https://arxiv.org/abs/math/0612810

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