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arXiv · 2505.01084

Log prismatic $F$-crystals and realization functors

Kentaro Inoue
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Abstract

Log prismatic cohomology theory developed by Koshikawa-Yao involves coefficient objects, called log prismatic $F$-crystals. In this paper, we construct and study realization functors from the category of log prismatic $F$-crystals to the category of coefficient objects of other $p$-adic cohomology theories, in the setting where boundary divisors may involve horizontal components.

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Kentaro Inoue. 2025-05-02. Log prismatic $F$-crystals and realization functors. https://arxiv.org/abs/2505.01084

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