{"paper":{"title":"On finite generation of the section ring of the determinant of cohomology line bundle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Angela Gibney, Prakash Belkale","submitted_at":"2016-06-28T14:30:00Z","abstract_excerpt":"For $C$ a stable curve of arithmetic genus $g\\ge 2$, and $\\mathcal{D}$ the determinant of cohomology line bundle on $\\operatorname{Bun}_{\\operatorname{SL}(r)}(C)$, we show the section ring for the pair $(\\operatorname{Bun}_{\\operatorname{SL}(r)}(C), \\mathcal{D})$ is finitely generated. Three applications are given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08726","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"}