Rapoport–Zink spaces for spinor groups. (10th April 2017)

• Record Type: Journal Article
• Authors: Howard, Benjamin; Pappas, Georgios
• Is Part Of: Compositio mathematica. Volume 153:Number 5(2017)
• Page Start: 1050
• Page End: 1118
• Publication Date: 2017-04-10
• Subjects: 11G18, -- 14G35 (primary); Shimura variety, -- spinor group, -- Rapoport–Zink space; Mathematics -- Periodicals; 510
• DOI: 10.1112/S0010437X17007011
• Languages: English
• ISSNs: 0010-437X

Abstract

Abstract : After the work of Kisin, there is a good theory of canonical integral models of Shimura varieties of Hodge type at primes of good reduction. The first part of this paper develops a theory of Hodge type Rapoport–Zink formal schemes, which uniformize certain formal completions of such integral models. In the second part, the general theory is applied to the special case of Shimura varieties associated with groups of spinor similitudes, and the reduced scheme underlying the Rapoport–Zink space is determined explicitly.