{"paper":{"title":"Components of moduli spaces of spin curves with the expected codimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luca Benzo","submitted_at":"2013-07-26T08:30:31Z","abstract_excerpt":"We prove a conjecture of Gavril Farkas claiming that for all integers r \\geq 2 and g \\geq \\binom{r+2}{2} there exists a component of the locus \\mathcal{S}^r_g of spin curves with a theta characteristic L such that h^0(L) \\geq r+1 and h^0(L)\\equiv r+1 (mod 2) which has codimension \\binom{r+1}{2} inside the moduli space \\mathcal{S}_g of spin curves of genus g."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6954","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"}