{"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"}