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In particular, 66 is the maximum finite order in each characteristic $p\\neq 2,3$. As a consequence, we give a bound for the orders of finite groups acting on K3 surfaces in characteristic $p>7$."},"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":"1203.5616","kind":"arxiv","version":9},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-03-26T09:57:34Z","cross_cats_sorted":[],"title_canon_sha256":"ac60adcb754322a6ae86849b0be17390177b2f127ba6d64c005d8a39d88f851d","abstract_canon_sha256":"9ae5b0ae6a2fd68b6003e7b9f0994a0b3026a6e2ff2d064e43f32d05c6a13ff9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:46.567349Z","signature_b64":"NpT7g52uVBor81N3JbQrZ7yjIQ+4y4m8bPhgJdJxY3m/UsY1L6BmKvKypqVwoNPLZyB06ITmCesJgmUICtKDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d2d31b9e1703f4bf2eab5a7857cac0eac6fa222113c0fcc13378c55a2c6694c","last_reissued_at":"2026-05-18T03:12:46.566584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:46.566584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orders of automorphisms of K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"JongHae Keum","submitted_at":"2012-03-26T09:57:34Z","abstract_excerpt":"We determine all posible orders of automorphisms of finite order of complex K3 surfaces or of K3 surfaces in characteristic $p>3$. 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