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For each real parameter t between one and infinity we exhibit two families of generalized K3 surfaces, (M,cal{I}_{zeta}) and (M,cal{J}_{zeta}), parametrized by zeta in CP^1, which are Mukai dual for zeta=0 and infinity, amd mirror partners for zeta not equal to 0 and infinity. Moreover, the Fourier-Mukai equivalence D^b(M,cal{I}_0) -> D^b(M,cal{J}_0) induces an isomorphism phi_T between the spaces of first order deformations of (M,cal{I}_0) and (M,cal{J}_0) as generalized complex manifolds, and the deformations (M"},"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":"1209.3202","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-14T14:15:00Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"1f607bf7e16fbbc17257a1d54a36be067b7e89af57d5af9754967e7ce7e96a69","abstract_canon_sha256":"312c75428e63f6c150b5621d73712cf3e540fc3e915f78a1418fc1a50775d279"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:32.517287Z","signature_b64":"OgCD2/aMRH7JNNOFjWfdqFQPRkJdftxCHSVCvCPS72LE4pNWKsqmEHUF5NlsTDDn1ERzbBNEYgoHSfCIog/QCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"902c245fd76f7b6a3584152fd1806239a79bd264496dfd33c2e64e234e0c293e","last_reissued_at":"2026-05-18T03:45:32.516510Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:32.516510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fourier-Mukai transforms, mirror symmetry, and generalized K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.DG","authors_text":"Justin Sawon","submitted_at":"2012-09-14T14:15:00Z","abstract_excerpt":"We study generalized complex structures on K3 surfaces, in the sense of Hitchin. 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