{"paper":{"title":"A N\\'eron model of the universal jacobian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Holmes","submitted_at":"2014-12-06T15:28:07Z","abstract_excerpt":"The jacobian of the universal curve over $\\mathcal{M}_{g,n}$ is an abelian scheme over $\\mathcal{M}_{g,n}$. Our main result is the construction of an algebraic space $\\beta\\colon \\tilde{\\mathcal{M}}_{g,n} \\rightarrow \\bar{\\mathcal{M}}_{g,n}$ over which this jacobian admits a N\\'eron model, and such that $\\beta$ is universal with respect to this property. We prove certain basic properties, for example that $\\beta$ is separated, locally of finite presentation, and satisfies a certain restricted form of the valuative criterion for properness. In general, $\\beta$ is not quasi-compact. We relate ou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2243","kind":"arxiv","version":2},"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"}