On supersingular loci of Shimura varieties for quaternionic unitary groups of degree 2

We describe the structure of the supersingular locus of a Shimura variety for a quaternionic unitary similitude group of degree 2 over a ramified odd prime p if the level at p is given by a special maximal compact open subgroup. More precisely, we show that such a locus is purely 2-dimensional, and...

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Veröffentlicht in:	Manuscripta mathematica 2022-01, Vol.167 (1-2), p.263-343
1. Verfasser:	Oki, Yasuhiro
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Calculus of Variations and Optimal Control Optimization Geometry Intersections Lie Groups Loci Mathematics Mathematics and Statistics Number Theory Subgroups Topological Groups
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