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These K3 surfaces admit a non-symplectic automorphism of order $p$ induced by an automorphism of one of the curves $C_1$ or $C_2$. We prove that most of the K3 surfaces admitting a non-symplectic automorphism of order $p$ (and in fact a maximal irreducible component of the moduli space of K3 surfaces with a non-symplectic automorphism of order $p$) are obtained in this way.\\\\ In addition, we show that o"},"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":"1303.1653","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-03-07T11:53:22Z","cross_cats_sorted":[],"title_canon_sha256":"168917903b1ce31f0e222563c2b41ea1456342efc335766d31c9d8cb64787248","abstract_canon_sha256":"df358a6fef35760f7ed545a050ff464e5b91854d55bb5f925a5411d728db3b2e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:42.085545Z","signature_b64":"WEmLhsi/c0Fy7tY+GxteHuDWQPEBYLBENbD97x5glpA9ExQmoGIPw3jg9mnObXUXT4OIwniLNN2hHFkHPbD6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abc77a1a743019487a1577a1bc41f8d46c8bb91f3cd923dc184e92d02c7abe64","last_reissued_at":"2026-05-18T03:31:42.084701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:42.084701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K3 surfaces with a non-symplectic automorphism and product-quotient surfaces with cyclic groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alice Garbagnati, Matteo Penegini","submitted_at":"2013-03-07T11:53:22Z","abstract_excerpt":"We classify all the K3 surfaces which are minimal models of the quotient of the product of two curves $C_1\\times C_2$ by the diagonal action of either the group $\\Z/p\\Z$ or the group $\\Z/2p\\Z$. These K3 surfaces admit a non-symplectic automorphism of order $p$ induced by an automorphism of one of the curves $C_1$ or $C_2$. We prove that most of the K3 surfaces admitting a non-symplectic automorphism of order $p$ (and in fact a maximal irreducible component of the moduli space of K3 surfaces with a non-symplectic automorphism of order $p$) are obtained in this way.\\\\ In addition, we show that o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1653","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1303.1653","created_at":"2026-05-18T03:31:42.084859+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.1653v1","created_at":"2026-05-18T03:31:42.084859+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1653","created_at":"2026-05-18T03:31:42.084859+00:00"},{"alias_kind":"pith_short_12","alias_value":"VPDXUGTUGAMU","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VPDXUGTUGAMUQ6QV","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VPDXUGTU","created_at":"2026-05-18T12:28:04.890932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R","json":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R.json","graph_json":"https://pith.science/api/pith-number/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/graph.json","events_json":"https://pith.science/api/pith-number/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/events.json","paper":"https://pith.science/paper/VPDXUGTU"},"agent_actions":{"view_html":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R","download_json":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R.json","view_paper":"https://pith.science/paper/VPDXUGTU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.1653&json=true","fetch_graph":"https://pith.science/api/pith-number/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/graph.json","fetch_events":"https://pith.science/api/pith-number/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/action/storage_attestation","attest_author":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/action/author_attestation","sign_citation":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/action/citation_signature","submit_replication":"https://pith.science/pith/VPDXUGTUGAMUQ6QVO6Q3YQPY2R/action/replication_record"}},"created_at":"2026-05-18T03:31:42.084859+00:00","updated_at":"2026-05-18T03:31:42.084859+00:00"}