{"paper":{"title":"The Mori cone of certain Hassett spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Davide Ricci","submitted_at":"2026-06-20T12:20:44Z","abstract_excerpt":"In this paper, we prove that the Mori cone of Hassett spaces whose universal family is a $\\mathbf{P}^1$-bundle is generated by 1-dimensional strata. This extends the case of the symmetric GIT quotient $(\\mathbf{P}^1)^n//PGL_2$ established by Bolognesi and Massarenti. Along the way, we review how these spaces are naturally isomorphic to certain GIT quotients $(\\mathbf{P}^1)^n//PGL_2$, characterize them as the targets of the birational contractions of the blow-up of $\\mathbf{P}^{n-3}$ at $n-1$ general points with $\\mathbf{Q}$-factorial image, and deduce that their effective cone is likewise gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.22012","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/2606.22012/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"}