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Suppose that $X$ satisfies $H^i(X,F^{m*}_X(\\Omg^j_X)\\otimes\\Ls^{-1})=0$ for any ample line bundle $\\Ls$ on $X$, and any nonnegative integers $m,i,j$ with $0\\leq i+j<\\dim X$, where $F_X:X\\rightarrow X$ is the absolute Frobenius morphism. We prove that by procedures combining taking smooth hypersurfaces of dimension $\\geq 3$ and cyclic covers along smooth divisors, if the resulting smooth projective variety $Y$ has ample (resp. nef) canonical bund"},"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":"1405.0106","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-01T06:37:59Z","cross_cats_sorted":[],"title_canon_sha256":"b48749ce3ff6ee1559f91b8236558598e408207967d5a8d3f0778169e7020984","abstract_canon_sha256":"0eb419a6548f523a9a43ea845ffd8701d780d22858f5aae653755cb8158601f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:00.573289Z","signature_b64":"126/LlX6lbEVaBfvokMHxc/EbX9xgeko/U6emhbUAd3WZGT1bomLN0tUyqVqvtOcNx6SEg3ddoQQ8mP0R/ViAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b298f7b307a6e6e4491392f977d69c60a2f39c39b6986ef85484a7659671fe4a","last_reissued_at":"2026-05-18T02:51:00.572884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:00.572884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Strong Stability of Cotangent Bundles of Cyclic Covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Junchao Shentu, Lingguang Li","submitted_at":"2014-05-01T06:37:59Z","abstract_excerpt":"Let $X$ be a smooth projective variety over an algebraically closed field $k$ of characteristic $p>0$ of $\\dim X\\geq 4$ and Picard number $\\rho(X)=1$. Suppose that $X$ satisfies $H^i(X,F^{m*}_X(\\Omg^j_X)\\otimes\\Ls^{-1})=0$ for any ample line bundle $\\Ls$ on $X$, and any nonnegative integers $m,i,j$ with $0\\leq i+j<\\dim X$, where $F_X:X\\rightarrow X$ is the absolute Frobenius morphism. We prove that by procedures combining taking smooth hypersurfaces of dimension $\\geq 3$ and cyclic covers along smooth divisors, if the resulting smooth projective variety $Y$ has ample (resp. nef) canonical bund"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0106","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1405.0106","created_at":"2026-05-18T02:51:00.572946+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.0106v2","created_at":"2026-05-18T02:51:00.572946+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0106","created_at":"2026-05-18T02:51:00.572946+00:00"},{"alias_kind":"pith_short_12","alias_value":"WKMPPMYHU3TO","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"WKMPPMYHU3TOISIT","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"WKMPPMYH","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC","json":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC.json","graph_json":"https://pith.science/api/pith-number/WKMPPMYHU3TOISITSL4XPVU4MC/graph.json","events_json":"https://pith.science/api/pith-number/WKMPPMYHU3TOISITSL4XPVU4MC/events.json","paper":"https://pith.science/paper/WKMPPMYH"},"agent_actions":{"view_html":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC","download_json":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC.json","view_paper":"https://pith.science/paper/WKMPPMYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.0106&json=true","fetch_graph":"https://pith.science/api/pith-number/WKMPPMYHU3TOISITSL4XPVU4MC/graph.json","fetch_events":"https://pith.science/api/pith-number/WKMPPMYHU3TOISITSL4XPVU4MC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC/action/storage_attestation","attest_author":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC/action/author_attestation","sign_citation":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC/action/citation_signature","submit_replication":"https://pith.science/pith/WKMPPMYHU3TOISITSL4XPVU4MC/action/replication_record"}},"created_at":"2026-05-18T02:51:00.572946+00:00","updated_at":"2026-05-18T02:51:00.572946+00:00"}