On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety
Abstract
We study the supersingular locus of a reduction at an inert prime of the Shimura variety attached to $\mathrm{GU}(2,n-2)$. More concretely, we decompose the supersingular locus into a disjoint union of iterated fibrations over (classical) Deligne-Lusztig varieties after taking perfection.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2024
- DOI:
- arXiv:
- arXiv:2410.05110
- Bibcode:
- 2024arXiv241005110S
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory
- E-Print:
- 31 pages. Minor errors corrected