{"paper":{"title":"On Automorphisms of the Affine Cremona Group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hanspeter Kraft, Immanuel Stampfli","submitted_at":"2011-05-18T20:08:05Z","abstract_excerpt":"We show that every automorphism of the group $\\mathcal{G}_n:= \\textrm{Aut}(\\mathbb{A}^n)$ of polynomial automorphisms of complex affine $n$-space $\\mathbb{A}^n=\\mathbb{C}^n$ is inner up to field automorphisms when restricted to the subgroup $T \\mathcal{G}_n$ of tame automorphisms. This generalizes a result of \\textsc{Julie Deserti} who proved this in dimension $n=2$ where all automorphisms are tame: $T \\mathcal{G}_2 = \\mathcal{G}_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3739","kind":"arxiv","version":2},"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"}