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A particular emphasis lies in the description of the automorphisms in $\\textrm{Cent}(\\rho)$ coming from algebraic $\\mathbb{C}^+$-actions. As an application we prove that the automorphisms in $\\textrm{Cent}(\\rho)$ that are the identity on the algebraic quotient of $\\rho$ form a characteristic subgroup of $\\textrm{Cent}(\\rho)$."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1406.6246","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-24T14:15:43Z","cross_cats_sorted":[],"title_canon_sha256":"86d63408300157974355cbdf98e3e6b1e200e38b985c5959b333258172393eb6","abstract_canon_sha256":"3a84484a0d703fcaddabb0d40702da81b46fb8960adeaf98485cc9e844bf240b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:05.116120Z","signature_b64":"hRF4HrmkFkgGNJg6L77LAND9IsD078y9r47tg49y7w5PopYa19Sjfb2rMkFBdJ2LMiZ2TUpzOCA6ViKsVOULBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69420bc344f8080480c69c76adc7ce53e588278c9cb62bdaebf7a84207abce5d","last_reissued_at":"2026-05-18T00:57:05.115599Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:05.115599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Automorphisms of $\\mathbb{C}^3$ Commuting with a $\\mathbb{C}^+$-Action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Immanuel Stampfli","submitted_at":"2014-06-24T14:15:43Z","abstract_excerpt":"Let $\\rho$ be an algebraic action of the additive group $\\mathbb{C}^+$ on the three-dimensional affine space $\\mathbb{C}^3$. 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