{"paper":{"title":"Syst\\`emes inductifs surcoh\\'erents de D-modules arithm\\'etiques logarithmiques","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Daniel Caro","submitted_at":"2012-07-03T15:21:36Z","abstract_excerpt":"Let $\\mathcal{V}$ be a complete discrete valuation ring of unequal characteristic with perfect residue field, $\\mathcal{P}$ be a smooth, quasi-compact, separated formal scheme over $\\mathcal{V}$, $\\mathcal{Z}$ be a strict normal crossing divisor of $\\mathcal{P}$ and $\\mathcal{P}^\\sharp := (\\mathcal{P}, \\mathcal{Z})$ the induced smooth formal log-scheme over $\\mathcal{V}$. In Berthelot's theory of arithmetic $\\mathcal{D}$-modules, we work with the inductive system of sheaves of rings $\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P} ^\\sharp} ^{(\\bullet)} := (\\smash{\\hat{\\mathcal{D}}}_{\\mathcal{P}^\\sharp}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.0710","kind":"arxiv","version":4},"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"}