Algebra & Number Theory Vol. 8, No. 7, 2014

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ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

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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

DOI: 10.2140/ant.2014.8.1659

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