Log Prismatic Dieudonn\'{e} theory and its application to Shimura varieties
Algebraic Geometry
2025-05-06 v2 Number Theory
Abstract
We study the log version of the prismatic Dieudonn\'{e} theory established by Ansch\"{u}tz-Le Bras. By applying this result to the integral toroidal compactification of a Shimura variety of Hodge type, we extend the prismatic realization, originally constructed by Imai-Kato-Youcis, to the compactification. This extension enables us to prove Lovering's conjecture on -adic comparison isomorphisms for Shimura varieties.
Keywords
Cite
@article{arxiv.2503.07379,
title = {Log Prismatic Dieudonn\'{e} theory and its application to Shimura varieties},
author = {Kentaro Inoue},
journal= {arXiv preprint arXiv:2503.07379},
year = {2025}
}
Comments
55 pages. Some part of the original article has been detached is now included in arXiv:2505.01084