{"paper":{"title":"The characteristic variety for Feigin and Odesskii's elliptic algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.QA","math.RT"],"primary_cat":"math.RA","authors_text":"Alex Chirvasitu, Ryo Kanda, S. Paul Smith","submitted_at":"2019-03-28T06:34:21Z","abstract_excerpt":"This paper examines an algebraic variety that controls an important part of the structure and representation theory of the algebra $Q_{n,k}(E,\\tau)$ introduced by Feigin and Odesskii. The $Q_{n,k}(E,\\tau)$'s are a family of quadratic algebras depending on a pair of coprime integers $n>k\\ge 1$, an elliptic curve $E$, and a point $\\tau\\in E$. It is already known that the structure and representation theory of $Q_{n,1}(E,\\tau)$ is controlled by the geometry associated to $E$ embedded as a degree $n$ normal curve in the projective space $\\mathbb P^{n-1}$, and by the way in which the translation au"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11798","kind":"arxiv","version":4},"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/1903.11798/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"}