{"paper":{"title":"A remark on potentially semi-stable representations of Hodge-Tate type (0,1)","license":"","headline":"","cross_cats":["math.NT"],"primary_cat":"math.AG","authors_text":"Kirti Joshi, Minhyong Kim","submitted_at":"2001-10-05T20:03:13Z","abstract_excerpt":"In this note we complement a part of a theorem of Fontaine-Mazur. We show that if $(V,\\rho)$ is an irreducible finite dimensional representation of the Galois group $Gal({\\bar K}/K)$ of a finite extension of $K\\Q_p$, of Hodge-Tate type $(0,1)$ then it is potentially semi-stable if and only if it is potentially crystalline. This was proved by Fontaine-Mazur for dimension two and $p\\geq 5$ by their classfication theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0110068","kind":"arxiv","version":1},"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"}