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Tropical Jacobians in R2

by: Shuhei Yoshitomi
(2 Apr 2011)  Key: citeulike:12134049

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Abstract

By tropical Abel-Jacobi theorem, the Jacobian of a tropical curve is isomorphic to the Picard group. A tropical curve in $\mathbbR^2$ corresponds to an immersion from a tropical curve to $\mathbbR^2$. In this paper, we show that any principal divisor on a tropical curve is the restriction of a principal divisor on the ambient plane $\mathbbR^2$.


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