{"paper":{"title":"Mixed modular perverse sheaves on moment graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Shotaro Makisumi","submitted_at":"2017-03-05T08:39:45Z","abstract_excerpt":"We study an analogue of the Achar-Riche \"mixed modular derived category\" for moment graphs. In particular, given a Coxeter group $W$ and a reflection faithful representation $\\mathfrak{h}$, we introduce a category that plays the role of Schubert-stratified mixed modular perverse sheaves on \"the flag variety associated to $(W, \\mathfrak{h})$.\" We show that this Soergel-theoretic generalization of graded category $\\mathcal{O}$ is graded highest weight."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01571","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"}