{"paper":{"title":"Components of moduli spaces of spin curves with the expected codimension II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Luca Benzo","submitted_at":"2015-02-18T15:04:36Z","abstract_excerpt":"We prove that for all integers $r \\geq 2$ and $g \\geq \\lfloor \\frac{r^2+10r+1}{4} \\rfloor$ 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 $h^0(L)\\equiv r+1 (\\text{mod} 2)$ which has expected 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":"1502.05262","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"}