{"paper":{"title":"On the class of caustic on the moduli space of odd spin curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mikhail Basok","submitted_at":"2015-09-08T13:19:13Z","abstract_excerpt":"Let $C$ be a smooth projective curve of genus $g\\geq 3$ and let $\\eta$ be an odd theta characteristic on it such that $h^0(C,\\eta) = 1$. Pick a point $p$ from the support of $\\eta$ and consider the one-dimensional linear system $|\\eta + p|$. In general this linear system is base-point free and all its ramification points (i.e. ramification points of the corresponding branched cover $C\\to\\mathbb P^1\\simeq \\mathbb PH^0(C,\\eta+p)$) are simple. We study the locus in the moduli space of odd spin curves where the linear system $|\\eta + p|$ fails to have this general behavior. This locus splits into "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.02359","kind":"arxiv","version":3},"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"}