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- W4301402022 abstract "Let $mathfrak{A}$ be a finite abelian group. In this article, we classify harmonic $mathfrak{A}$-covers of a tropical curve $Gamma$ (which allow dilation along edges and at vertices) in terms of the cohomology group of a suitably defined sheaf on $Gamma$. We give a realizability criterion for harmonic $mathfrak{A}$-covers by patching local monodromy data in an extended homology group on $Gamma$. As an explicit example, we work out the case $mathfrak{A}=mathbb{Z}/pmathbb{Z}$ and explain how realizability for such covers is related to the nowhere-zero flow problem from graph theory." @default.
- W4301402022 created "2022-10-05" @default.
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- W4301402022 date "2019-06-10" @default.
- W4301402022 modified "2023-09-28" @default.
- W4301402022 title "Abelian tropical covers" @default.
- W4301402022 doi "https://doi.org/10.48550/arxiv.1906.04215" @default.
- W4301402022 hasPublicationYear "2019" @default.
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