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Recall that del Pezzo surfaces of degree $5$ over a field $F$ are precisely the twisted $F$-forms of the moduli space $\\overline{M_{0, 5}}$ of stable curves of genus $0$ with $5$ marked points. Suppose $n \\geq 5$ is an integer, and $F$ is an infinite field of characteristic $\\neq 2$. It is easy to see that every twisted $F$-form of $\\overline{M_{0, n}}$ is unira"},"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":"1709.05698","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-09-17T17:51:32Z","cross_cats_sorted":["math.GR","math.NT"],"title_canon_sha256":"c7cf1671dfc0c55b1b4fdd3db62e1c4f2aaf55610cc9a079210164ebf83d47c4","abstract_canon_sha256":"29d33ae5f39c39198bd16170e693baa728e8b5733730eada097cd07a4911de2b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:28:14.062940Z","signature_b64":"hR0oPaHbCe4AcgocmGZJ6lvLpiGOxl7EeSO8BYLBPninFZZ8eft5DX/SgPaqsilhEy1KDF8X1iu9UeAxDVOUDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"91499331a708940d8f802f697b67c361bb639fd76ae268ce668be4d1d0fa042c","last_reissued_at":"2026-05-18T00:28:14.062333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:28:14.062333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The rationality problem for forms of $\\overline{M_{0, n}}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.NT"],"primary_cat":"math.AG","authors_text":"Mathieu Florence, Zinovy Reichstein","submitted_at":"2017-09-17T17:51:32Z","abstract_excerpt":"Let $X$ be a del Pezzo surface of degree $5$ defined over a field $F$. A theorem of Yu. I. Manin and P. Swinnerton-Dyer asserts that every Del Pezzo surface of degree $5$ is rational. In this paper we generalize this result as follows. Recall that del Pezzo surfaces of degree $5$ over a field $F$ are precisely the twisted $F$-forms of the moduli space $\\overline{M_{0, 5}}$ of stable curves of genus $0$ with $5$ marked points. Suppose $n \\geq 5$ is an integer, and $F$ is an infinite field of characteristic $\\neq 2$. 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