{"paper":{"title":"On Gross-Keating's result of lifting endomorphisms for formal modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Qirui Li","submitted_at":"2019-02-27T21:07:21Z","abstract_excerpt":"$\\newcommand{\\OO}[1]{\\mathcal{O}_{#1}}\\newcommand{\\GG}{\\mathcal{G}}\\newcommand{\\End}{\\mathrm{End}}\\newcommand{\\O}{\\mathcal{O}}$Let $K/F$ be a quadratic extension of non-Archimedean local fields of characteristic not equal to 2, with rings of integers denoted by $\\OO K$ and $\\OO F$. We consider a formal $\\OO F$-module $\\GG$, over a discrete valuation ring $\\OO W$ with an uniformizer $\\varpi$, with extra endomorphisms by a subring $\\O$ of $\\OO K$, and the height of its reduction $\\GG_0=\\GG\\otimes \\OO W/\\varpi$ is 2. The endomorphism ring of $\\GG_n=\\GG\\otimes \\OO W/\\varpi^{n+1}$ is a subring betw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.10789","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"}