Graduate School of Mathematical Sciences, The University of Tokyo
Journal of Mathematical Sciences, The University of Tokyo. Vol. 17 (2010), No. 2, Page 135-157
By tropical Abel-Jacobi theorem, the Jacobian of a tropical curve is isomorphic to the Picard group. A tropical curve in R2 corresponds to an immersion from a tropical curve to R2. In this paper, we show that any principal divisor on a tropical curve is the restriction of a principal divisor on the ambient plane R2.