{"paper":{"title":"Non--tautological cycles on Prym moduli spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bogdan Carasca, Riccardo Redigolo","submitted_at":"2026-05-20T19:35:08Z","abstract_excerpt":"We denote by $\\mathcal{R}_{g;m}$ the moduli space of $m$--pointed Prym curves of genus $g$, that is, tuples $[\\widetilde C / C; x_1, \\dots, x_m]$ where $[C, x_1, \\dots, x_m]$ is an $m$--pointed curve of genus $g$ and $\\widetilde C/ C$ is an \\'etale double cover of $C$. In this paper, we address the problem of the non--tautology of the Chow ring of $\\mathcal{R}_{g;m}$. The locus which allows us to achieve earlier bounds for the non--tautology of $\\mathrm{CH}^\\bullet(\\mathcal{R}_{g})$ compared to $\\mathcal{M}_g$ is the component $\\mathcal{R}\\mathcal{B}_g^0$ of the locus of bi--elliptic Prym curv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21675","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21675/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"}