{"paper":{"title":"An Algorithm for the Tropical Realizability Problem for Families of Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Paolo Tripoli","submitted_at":"2018-03-12T19:49:01Z","abstract_excerpt":"Given a tropical fan curve $\\Sigma$ and a family of algebraic curves $X \\rightarrow \\mathbb{A}^k$ we define the realization locus $\\mathop{Real}_\\Sigma \\subseteq \\mathbb{A}^k$ as the set of fibers $X_a$ whose tropicalization is $\\Sigma$. We produce an algorithm that describes the Zariski closure of $\\mathop{Real}_\\Sigma$ by imposing algebraic conditions for each ray of $\\Sigma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04491","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"}