{"paper":{"title":"Duality for dormant opers of classical types B and C","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AG","authors_text":"Yasuhiro Wakabayashi","submitted_at":"2026-05-18T07:36:35Z","abstract_excerpt":"A $\\mathfrak{g}$-oper for a simple Lie algebra $\\mathfrak{g}$ is a specific type of flat principal bundle on an algebraic curve. When the base field is of prime characteristic $p$, those with vanishing $p$-curvature are called dormant $\\mathfrak{g}$-opers, and they form finite and geometrically meaningful moduli spaces. In earlier work, a canonical duality was established between dormant $\\mathfrak{sl}_n$-opers and dormant $\\mathfrak{sl}_{p-n}$-opers. This duality has provided effective tools for the study of higher-rank cases, as well as for the computation and structural understanding of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.17981","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17981/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T23:33:35.563631Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"3a379ab494959683a4cfdf006f05e228184176a86ae2bb330aca6933eb187c36"},"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"}