Log Prismatic Dieudonné theory and its application to Shimura varieties
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918008098652160 |
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| author | Inoue, Kentaro |
| author_facet | Inoue, Kentaro |
| contents | We study the log version of the prismatic Dieudonné theory established by Anschütz-Le Bras. By applying this result to the integral toroidal compactification of a Shimura variety of Hodge type, we extend the prismatic realization, originally constructed by Imai-Kato-Youcis, to the compactification. This extension enables us to prove Lovering's conjecture on $p$-adic comparison isomorphisms for Shimura varieties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07379 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Log Prismatic Dieudonné theory and its application to Shimura varieties Inoue, Kentaro Algebraic Geometry Number Theory We study the log version of the prismatic Dieudonné theory established by Anschütz-Le Bras. By applying this result to the integral toroidal compactification of a Shimura variety of Hodge type, we extend the prismatic realization, originally constructed by Imai-Kato-Youcis, to the compactification. This extension enables us to prove Lovering's conjecture on $p$-adic comparison isomorphisms for Shimura varieties. |
| title | Log Prismatic Dieudonné theory and its application to Shimura varieties |
| topic | Algebraic Geometry Number Theory |
| url | https://arxiv.org/abs/2503.07379 |