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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.18629 |
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| _version_ | 1866911665735335936 |
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| author | Liu, Kun |
| author_facet | Liu, Kun |
| contents | In this short note, we prove a result about the non-generic part of the cohomology of certain compact unitary Shimura varieties for good $p$, partially extending a result of Boyer in the case of Harris--Taylor unitary Shimura varieties. Our arguments are different to those of Boyer -- we work in the context of the work of Fargues--Scholze, using ideas introduced by Koshikawa to study the generic part of cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_18629 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$ Liu, Kun Number Theory In this short note, we prove a result about the non-generic part of the cohomology of certain compact unitary Shimura varieties for good $p$, partially extending a result of Boyer in the case of Harris--Taylor unitary Shimura varieties. Our arguments are different to those of Boyer -- we work in the context of the work of Fargues--Scholze, using ideas introduced by Koshikawa to study the generic part of cohomology. |
| title | On the non-generic part of cohomology of compact unitary Shimura varieties of signature $(1,n)$ |
| topic | Number Theory |
| url | https://arxiv.org/abs/2511.18629 |