A log prismatic-crystalline comparison theorem
Number Theory
2026-03-04 v1 Algebraic Geometry
Abstract
We show a comparison theorem between log prismatic cohomology and log crystalline cohomology for a -adic formal scheme with semistable reduction. Combined with the prismatic-\'etale comparison theorem recently proved by Tian, this implies the -conjecture in the semistable case with coefficients given by semistable local systems.
Cite
@article{arxiv.2603.02718,
title = {A log prismatic-crystalline comparison theorem},
author = {Heng Du and Yong Suk Moon and Koji Shimizu},
journal= {arXiv preprint arXiv:2603.02718},
year = {2026}
}