{"paper":{"title":"Degeneration of spectral sequences and complex Lagrangian submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA","math.RT"],"primary_cat":"math.AG","authors_text":"Borislav Mladenov","submitted_at":"2019-07-10T14:17:48Z","abstract_excerpt":"There is a local-to-global $\\mathrm{Ext}$ spectral sequence $\\mathrm{E}_2^{p,q} = \\mathrm{H}^p(\\mathrm{L}, \\Omega^q_\\mathrm{L}) \\Rightarrow \\mathrm{Ext}^{p+q}(i_*\\mathscr{O}_\\mathrm{L}, i_*\\mathscr{O}_{\\mathrm{L}})$ for a smooth Lagrangian subvariety in a hyperk\\\"ahler variety. We prove its degeneration on $\\mathrm{E}_{2}$, and various generalisations thereof."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04742","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1907.04742/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"}