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As a consequence, we prove a conjecture of Manetti on the geography of irregular surfaces if $K_X^2\\geq 36(q-2)$ or $\\chi(\\mathcal O_X)\\geq 8(q-2)$, and we also prove a conjecture that surfaces of general type and maximal Albanese dimension with $K_X^2=4\\chi(\\mathcal O_X)$ are exactly the resolution of double covers of abelian surfaces branched over"},"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":"1504.06569","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-04-24T17:02:46Z","cross_cats_sorted":[],"title_canon_sha256":"e02f4d9363eb157b12b4aae1a47b659987f9d32ba62ecf0cd48eb8aeab7ef4e4","abstract_canon_sha256":"ef6997189c2e1061fa0a92e85b8f10debebb83ebc8a07502a99dfd56d4a86cba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:44.638933Z","signature_b64":"80L0w5NIiatNW61pOQn5LjQ/0JYnUttFbpVMdpZoDb7x8PViuWQgDu2x0PhB3ijr5VehUL5XAg6F/W5j8q9gCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c8aa9e63ab510f33b5daaf381d4edca05058e53c6f20094ad9c9f1f36734c55e","last_reissued_at":"2026-05-18T02:17:44.638545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:44.638545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Severi type inequalities for irregular surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kang Zuo, Xin Lu","submitted_at":"2015-04-24T17:02:46Z","abstract_excerpt":"Let $X$ be a minimal surface of general type and maximal Albanese dimension with irregularity $q\\geq 2$. 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