Log prismatic $F$-crystals and realization functors
Algebraic Geometry
2025-05-06 v2 Number Theory
Abstract
Log prismatic cohomology theory developed by Koshikawa-Yao involves coefficient objects, called log prismatic -crystals. In this paper, we construct and study realization functors from the category of log prismatic -crystals to the category of coefficient objects of other -adic cohomology theories, in the setting where boundary divisors may involve horizontal components.
Keywords
Cite
@article{arxiv.2505.01084,
title = {Log prismatic $F$-crystals and realization functors},
author = {Kentaro Inoue},
journal= {arXiv preprint arXiv:2505.01084},
year = {2025}
}
Comments
69 pages. Some contents of this article previously belonged to arXiv:2503.07379