{"paper":{"title":"Galois quotients of metric graphs and invariant linear systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"JuAe Song","submitted_at":"2019-01-26T08:02:15Z","abstract_excerpt":"For a map $\\varphi : \\varGamma \\rightarrow \\varGamma^{\\prime}$ between metric graphs and an isometric action on $\\varGamma$ by finite group $K$, $\\varphi$ is a $K$-Galois covering on $\\varGamma^{\\prime}$ if $\\varphi$ is a morphism, the degree of $\\varphi$ coincides with the order of $K$ and $K$ induces a transitive action on every fibre. We prove that for a metric graph $\\varGamma$ with an isometric action by finite group $K$, there exists a rational map, from $\\varGamma$ to a tropical projective space, which induces a $K$-Galois covering on the image. By using this fact, we also prove that fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.09172","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}