{"paper":{"title":"On the Arithmetic Exceptionality of Polynomial Mappings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"\\\"Omer K\\\"u\\c{c}\\\"uksakall{\\i}","submitted_at":"2017-07-11T12:10:23Z","abstract_excerpt":"In this note we prove that certain polynomial mappings $P_\\mathfrak{g}^k(\\mathbf{x}) \\in \\mathbf{Z}[\\mathbf{x}]$ in $n$-variables obtained from simple complex Lie algebras $\\mathfrak{g}$ of arbitrary rank $n \\ge 1$, are exceptional."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03238","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"}