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arXiv · 2603.02718

A log prismatic-crystalline comparison theorem

Heng Du·Yong Suk Moon·Koji Shimizu
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Abstract

We show a comparison theorem between log prismatic cohomology and log crystalline cohomology for a $p$-adic formal scheme with semistable reduction. Combined with the prismatic-\'etale comparison theorem recently proved by Tian, this implies the $C_{\mathrm{st}}$-conjecture in the semistable case with coefficients given by semistable local systems.

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Heng Du, Yong Suk Moon, Koji Shimizu. 2026-03-03. A log prismatic-crystalline comparison theorem. https://arxiv.org/abs/2603.02718

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