{"paper":{"title":"Sur la pr\\'eservation de la coh\\'erence par image inverse extraordinaire par une immersion ferm\\'ee","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-07-03T15:31:38Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valuation ring of unequal characteristic with perfect residue field, $u\\colon \\mathcal{Z} \\hookrightarrow \\mathfrak{X}$ be a closed immersion of smooth, quasi-compact, separated formal schemes over $\\mathcal{V}$, $T$ be a divisor of $X$ such that $U:= T \\cap Z$ is a divisor of $Z$, $\\mathfrak{D}$ a strict normal crossing divisor of $\\mathfrak{X}$ such that $u ^{-1} (\\mathfrak{D})$ is a strict normal crossing divisor of $\\mathcal{Z}$. We pose $\\mathfrak{X} ^{\\sharp}:= (\\mathfrak{X}, \\mathfrak{D})$, $\\mathcal{Z} ^{\\sharp}:= (\\mathcal{Z}, u ^{-1}\\mathfrak{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0714","kind":"arxiv","version":3},"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"}