Tropical Jacobians in R2

Abstract

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

18 pages, journal version

References in corpus (1)

• Jacobian varieties of reduced tropical curves