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Moreover, we generalize Kronheimer's results on hyperkahler 4-manifolds, by giving an explicit classification of the ALE Ricci-flat Kahler surfaces.\n  We construct ALF Ricci-flat Kahler metrics on the above non-simply connected manifolds. These provide new examples of ALF Ricci-flat Kahler 4-manifolds, with cubic volume growth and cyclic fundamental group at infinity."},"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":"1102.2672","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-14T04:16:54Z","cross_cats_sorted":[],"title_canon_sha256":"096cd97da54bd12f07eab9372f8e6fe40f1d1f746e805fd45139075f13406a19","abstract_canon_sha256":"be2db554c2b9e8f9f660518306946865368e69b1719e791b76d681e0782623fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:46.745841Z","signature_b64":"2uVSeyrj6LociKXIW0LJJB+c5jcgAkJVSr3GA6m+dVbED8Z/ZFZMTZr5qJqAP6t1uKm9VbpKIDO5+40ZXWUyAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4492792cbdbf57a50d2a36325251599553971fa8fa17b5ec0f4a89da26bb40cc","last_reissued_at":"2026-05-18T04:28:46.745396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:46.745396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"ALE Ricci-flat Kahler metrics and deformations of quotient surface singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ioana Suvaina","submitted_at":"2011-02-14T04:16:54Z","abstract_excerpt":"Let N_0 = C^2/H be an isolated quotient singularity with H in U (2) a finite subgroup. 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