Logarithmic Crystalline Representations
Algebraic Geometry
2026-02-05 v2 Representation Theory
Abstract
In 1989, Faltings proved the comparison theorem between \'etale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his paper, he mentioned these modules and representations can be extended to the logarithmic context, but without detail. This note aims to explicitly present the construction of logarithmic Fontaine-Faltings modules and logarithmic crystalline representations.
Keywords
Cite
@article{arxiv.2504.14246,
title = {Logarithmic Crystalline Representations},
author = {Zhenmou Liu and Jinbang Yang and Kang Zuo},
journal= {arXiv preprint arXiv:2504.14246},
year = {2026}
}
Comments
22 pages