@article{66329,
  abstract     = {{We show that the non-Archimedean skeleton of the $d$-th symmetric power of a smooth projective algebraic curve $X$ is naturally isomorphic to the $d$-th symmetric power of the tropical curve that arises as the non-Archimedean skeleton of $X$. The retraction to the skeleton is precisely the specialization map for divisors. Moreover, we show that the process of tropicalization naturally commutes with the diagonal morphisms and the Abel-Jacobi map and we exhibit a faithful tropicalization for symmetric powers of curves. Finally, we prove a version of the Bieri-Groves Theorem that allows us, under certain tropical genericity assumptions, to deduce a new tropical Riemann-Roch-Theorem for the tropicalization of linear systems.}},
  author       = {{Brandt, Madeline and Ulirsch, Martin}},
  journal      = {{arXiv:1812.08740}},
  title        = {{{Symmetric powers of algebraic and tropical curves: a non-Archimedean perspective}}},
  doi          = {{10.1090/btran/113}},
  year         = {{2018}},
}