{"paper":{"title":"Uniruledness of some moduli spaces of pointed spin curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bogdan Carasca","submitted_at":"2025-02-18T21:14:59Z","abstract_excerpt":"The moduli space $\\mathcal{S}_{g, 2n}$ parametrizes pointed curves with spin structure. These are tuples $[C, p_1, \\dots, p_{2n}, \\eta]$ where $\\eta \\in \\text{Pic}(C)$ such that $\\eta^{\\otimes 2} \\cong \\omega_C(-p_1 - \\dots - p_{2n})$. We prove that $\\mathcal{S}_{2, 4}$, $\\mathcal{S}_{2, 6}$, $\\mathcal{S}_{3, 2}$, $\\mathcal{S}_{3, 4}$, $\\mathcal{S}_{3, 6}$, $\\mathcal{S}_{4, 2}$, $\\mathcal{S}_{4, 4}$, $\\mathcal{S}_{5, 2}$ and $\\mathcal{S}_{5, 4}$ are uniruled."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13284","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.13284/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}