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We prove that for any real number $x \\geq 2$, there are minimal surfaces of general type $X$ over $\\mathbb{K}$ such that\n  a) $c_1^2(X)>0, c_2(X)>0$,\n  b) $\\pi_1^{\\text{\\'et}}(X) \\simeq \\pi_1^{\\text{\\'et}}(C)$,\n  c) and $c_1^2(X)/c_2(X)$ is arbitrarily close to $x$.\n  In particular, we show density of Chern slopes in the pathological Bogomolov-Miyaoka-Yau interval $]3,\\infty[$ for any given $p$. Moreover, we prove that for $C=\\mathbb{P}^1$ there exist surf"},"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":"1509.05260","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-09-17T13:56:41Z","cross_cats_sorted":["math.NT"],"title_canon_sha256":"96899ca17cdfb2ae8289f60a37c6767b3fee6056d2f7702773cc867b3c845aac","abstract_canon_sha256":"485e1f5ef57e624168f107633c6231fff6db2677fa02670cbe318beb6d2e42b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:15.818463Z","signature_b64":"5+Yau9adU2OqWSu/7eTOVuRRB3EXa7R6u15TcjFO4aCC3lcLmprGw/SQJovHl20w+CH6QDm03YT0z5ZizOhLBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bea0c60e419ac7551b9df5608c51c28981884752856775786ee5d52b70d3c92","last_reissued_at":"2026-05-18T00:47:15.817765Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:15.817765Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chern slopes of surfaces of general type in positive characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Giancarlo Urz\\'ua, Rodrigo Codorniu","submitted_at":"2015-09-17T13:56:41Z","abstract_excerpt":"Let $\\mathbb{K}$ be an algebraically closed field of characteristic $p>0$, and let $C$ be a nonsingular projective curve over $\\mathbb{K}$. We prove that for any real number $x \\geq 2$, there are minimal surfaces of general type $X$ over $\\mathbb{K}$ such that\n  a) $c_1^2(X)>0, c_2(X)>0$,\n  b) $\\pi_1^{\\text{\\'et}}(X) \\simeq \\pi_1^{\\text{\\'et}}(C)$,\n  c) and $c_1^2(X)/c_2(X)$ is arbitrarily close to $x$.\n  In particular, we show density of Chern slopes in the pathological Bogomolov-Miyaoka-Yau interval $]3,\\infty[$ for any given $p$. 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