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We use this data to construct 3 pointed Hopf algebras, $A(x,a,g)$, $A(y,b,f)$ and $A(g,f)$, in the first two of which $g$ [resp. $f$] are skew primitive central elements, and the third being a factor of the tensor product of the first two. We conjecture that $A(g,f)$ contains the coordinate ring $\\mathcal{O}(\\mathcal{C})$ of $\\mathcal{C}$ as a quant"},"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":"1810.09509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-22T19:19:19Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"c0acd335f95b03107041c74b26c2be1e156fbb4327819356d66dc42c6cb24666","abstract_canon_sha256":"c9659ae269ed68313b9c4fb96f3856ef9f1bee4a8c937a1574a0c8fba655f920"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:39.394776Z","signature_b64":"fwjAjc2apKRSYzxunxw0JXgsrZJKiPLPb8eUCWa2TMmtNEEQzdLscz9uWlPxiPKbfUi/BaLCciLAPrpCA89+Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"adb6cf11f83df2712bcb7b4d766467de70d391bb76e4039c02c3f0be2982265b","last_reissued_at":"2026-05-18T00:02:39.394169Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:39.394169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Plane curves which are quantum homogeneous spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.QA","authors_text":"Angela Tabiri, Ken Brown","submitted_at":"2018-10-22T19:19:19Z","abstract_excerpt":"Let $\\mathcal{C}$ be a decomposable plane curve over an algebraically closed field $k$ of characteristic 0. That is, $\\mathcal{C}$ is defined in $k^2$ by an equation of the form $g(x) = f(y)$, where $g$ and $f$ are polynomials of degree at least 2. We use this data to construct 3 pointed Hopf algebras, $A(x,a,g)$, $A(y,b,f)$ and $A(g,f)$, in the first two of which $g$ [resp. $f$] are skew primitive central elements, and the third being a factor of the tensor product of the first two. 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