{"paper":{"title":"Equations of $\\,\\overline{{M}}_{0,n}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Julie Rana, Leonid Monin","submitted_at":"2017-03-21T21:36:54Z","abstract_excerpt":"Following work of Keel and Tevelev, we give explicit polynomials in the Cox ring of $\\mathbb{P}^1\\times\\cdots\\times\\mathbb{P}^{n-3}$ that, conjecturally, determine $\\overline{M}_{0,n}$ as a subscheme. Using Macaulay2, we prove that these equations generate the ideal for $n=5, 6, 7, 8$. For $n \\leq 6$ we give a cohomological proof that these polynomials realize $\\overline{M}_{0,n}$ as a projective variety, embedded in $\\mathbb{P}^{(n-2)!-1}$ by the complete log canonical linear system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07439","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":""},"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"}