{"paper":{"title":"Constructing Reducible Brill--Noether Curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Eric Larson","submitted_at":"2016-03-07T21:22:19Z","abstract_excerpt":"It was recently determined exactly through how many general points a nondegenerate curve with nonspecial hyperplane section can pass. This gives rise to a method of constructing reducible curves $C_1 \\cup_\\Gamma C_2 \\to \\mathbb{P}^r$ with general nodes: We take a finite set $\\Gamma \\subset \\mathbb{P}^r$ of general points, and find nondegenerate nonspecial curves $C_1$ and $C_2$ in $\\mathbb{P}^r$ of specified degrees and genera which pass through $\\Gamma$, and glue together along $\\Gamma$. The goal of this paper is to show that, subject to certain mild assumptions, stable maps constructed in th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.02301","kind":"arxiv","version":7},"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"}