{"paper":{"title":"Constructible sheaves on nilpotent cones in rather good characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Anthony Henderson, Daniel Juteau, Pramod Achar, Simon Riche","submitted_at":"2015-07-23T17:33:56Z","abstract_excerpt":"We study some aspects of modular generalized Springer theory for a complex reductive group $G$ with coefficients in a field $\\mathbb k$ under the assumption that the characteristic $\\ell$ of $\\mathbb k$ is rather good for $G$, i.e., $\\ell$ is good and does not divide the order of the component group of the centre of $G$. We prove a comparison theorem relating the characteristic-$\\ell$ generalized Springer correspondence to the characteristic-$0$ version. We also consider Mautner's characteristic-$\\ell$ `cleanness conjecture'; we prove it in some cases; and we deduce several consequences, inclu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06581","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"}