{"paper":{"title":"On Galois equivariance of homomorphisms between torsion potentially crystalline representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Yoshiyasu Ozeki","submitted_at":"2013-04-08T03:52:28Z","abstract_excerpt":"Let K be a complete discrete valuation field of mixed characteristic (0,p) with perfect residue field. Let (\\pi_n)_{n\\ge 0} be a system of p-power roots of a uniformizer \\pi=\\pi_0 of K with \\pi^p_{n+1}=\\pi_n, and define G_s (resp.\\ G_{\\infty}) the absolute Galois group of K(\\pi_s) (resp.\\ K_{\\infty}:=\\bigcup_{n\\ge 0} K(\\pi_n)). In this paper, we study G_s-equivatiantness properties of G_{\\infty}-equivariant homomorphisms between torsion (potentially) crystalline representations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2095","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"}