Vol. 8, No. 7, 2014

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On the supersingular locus of the GU(2,2) Shimura variety

Benjamin Howard and Georgios Pappas

Vol. 8 (2014), No. 7, 1659–1699
Abstract

We describe the supersingular locus of a GU(2,2) Shimura variety at a prime inert in the corresponding quadratic imaginary field.

Keywords
Shimura varieties, Deligne–Lusztig varieties
Mathematical Subject Classification 2010
Primary: 11G18
Secondary: 14G35
Milestones
Received: 16 October 2013
Revised: 17 February 2014
Accepted: 23 May 2014
Published: 21 October 2014
Authors
Benjamin Howard
Department of Mathematics
Boston College
Chestnut Hill, MA 02467-3806
United States
Georgios Pappas
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
United States