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Up to isomorphism, there is a unique fourfold $V_{18}^{\\mathrm s}$ acted upon by $\\operatorname{SL}_2(\\mathbb{C})$. The group $\\operatorname{Aut}(V_{18}^{\\mathrm s})$ is a semidirect product $\\operatorname{GL}_2(\\mathbb{C})\\rtimes(\\mathbb{Z}/2\\mathbb{Z})$. Furthermore, $V_{18}^{\\mathrm s}$ is a $\\operatorname{GL}_2(\\mathbb{C})$-equivariant completion of $\\mathbb{C}^4$, and as well of $\\operatorname{GL}"},"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":"1706.04926","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-06-15T15:26:46Z","cross_cats_sorted":[],"title_canon_sha256":"ebef7a2b4714935513e4bfebcc44f57f58f21f280be2c66abf3d7113ad7b73b1","abstract_canon_sha256":"56c1ef27dd47002bbb1296dd2ae44107c7d16d04d3ad32f941cb8a1d9cd0a50f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:34.930061Z","signature_b64":"t+hhRUDoXEI+FIOdkeuXjkQuaOzHPWv7+D4I9tJbcJvgWYHdBbRdt4OBkKXRRlbueL0VPnX8cZw/VUUQEBmhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc7a0430456fa3d58b24e12bb86d7d14195fc31fd17e8d1f8a92c9e34ea8d3f1","last_reissued_at":"2026-05-18T00:21:34.929443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:34.929443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fano-Mukai fourfolds of genus $10$ as compactifications of $\\mathbb{C}^4$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Mikhail Zaidenberg, Yuri Prokhorov","submitted_at":"2017-06-15T15:26:46Z","abstract_excerpt":"It is known that the moduli space of smooth Fano-Mukai fourfolds $V_{18}$ of genus $10$ has dimension one. 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