{"paper":{"title":"Cell decomposition of some unitary group Rapoport-Zink spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Xu Shen","submitted_at":"2012-03-12T16:28:03Z","abstract_excerpt":"In this paper we study the $p$-adic analytic geometry of the basic unitary group Rapoport-Zink spaces $\\M_K$ with signature $(1,n-1)$. Using the theory of Harder-Narasimhan filtration of finite flat groups developed by Fargues in \\cite{F2},\\cite{F3}, and the Bruhat-Tits stratification of the reduced special fiber $\\M_{red}$ defined by Vollaard-Wedhorn in \\cite{VW}, we find some relatively compact fundamental domain $\\D_K$ in $\\M_K$ for the action of $G(\\Q_p)\\times J_b(\\Q_p)$, the product of the associated $p$-adic reductive groups, and prove that $\\M_K$ admits a locally finite cell decompositi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2537","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"}