Log prismatic $F$-crystals and realization functors

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.

69 pages. Some contents of this article previously belonged to arXiv:2503.07379