@article{66325,
  abstract     = {{Let $\mathfrak{A}$ be a finite abelian group. In this article, we classify harmonic $\mathfrak{A}$-covers of a tropical curve $Γ$ (which allow dilation along edges and at vertices) in terms of the cohomology group of a suitably defined sheaf on $Γ$. We give a realizability criterion for harmonic $\mathfrak{A}$-covers by patching local monodromy data in an extended homology group on $Γ$. As an explicit example, we work out the case $\mathfrak{A}=\mathbb{Z}/p\mathbb{Z}$ and explain how realizability for such covers is related to the nowhere-zero flow problem from graph theory.}},
  author       = {{Len, Yoav and Ulirsch, Martin and Zakharov, Dmitry}},
  journal      = {{arXiv:1906.04215}},
  title        = {{{Abelian tropical covers}}},
  doi          = {{10.1017/S0305004123000518}},
  year         = {{2019}},
}