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arXiv · 2503.07379

Log Prismatic Dieudonné theory and its application to Shimura varieties

Kentaro Inoue
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Abstract

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.

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Kentaro Inoue. 2025-05-05. Log Prismatic Dieudonné theory and its application to Shimura varieties. https://arxiv.org/abs/2503.07379

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