On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913566885412864 |
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| author | Shimada, Ryosuke |
| author_facet | Shimada, Ryosuke |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05110 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety Shimada, Ryosuke Algebraic Geometry Number Theory 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. |
| title | On the Supersingular Locus of the $\mathrm{GU}(2,n-2)$ Shimura Variety |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2410.05110 |