The supersingular locus of the Shimura variety for GU(1,s)
| dc.creator | Vollaard, Inken | |
| dc.date | 2005-09-03 | |
| dc.date | 2008-10-25 | |
| dc.date.accessioned | 2026-07-07T10:12:47Z | |
| dc.date.available | 2026-07-07T10:12:47Z | |
| dc.description | In this paper we study the supersingular locus of the reduction modulo p of the Shimura variety for GU(1,s) in the case of an inert prime p. Using Dieudonné theory we define a stratification of the corresponding moduli space of p-divisible groups. We describe the incidence relation of this stratification in terms of the Bruhat-Tits building of a unitary group. In the case of GU(1,2), we show that the supersingular locus is equi-dimensional of dimension 1 and is of complete intersection. We give an explicit description of the irreducible components and their intersection behaviour. | |
| dc.description | 57 pages, LATEX, final version with minor changes, to appear in the Canadian Journal of Mathematics | |
| dc.identifier | https://arxiv.org/abs/math/0509067 | |
| dc.identifier | http://arxiv.org/abs/math/0509067 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172302 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14G35; 11G18; 14K10 | |
| dc.title | The supersingular locus of the Shimura variety for GU(1,s) | |
| dc.type | text |