Rigid analytic reconstruction of Hyodo--Kato theory
Number Theory
2025-03-03 v6
Abstract
We give a new and very intuitive construction of Hyodo--Kato cohomology and the Hyodo--Kato map, based on logarithmic rigid cohomology. We show that it is independent of the choice of a uniformiser and study its dependence on the choice of a branch of the -adic logarithm. Moreover, we show the compatibility with the classical construction of Hyodo--Kato cohomology and the Hyodo--Kato map.)
Keywords
Cite
@article{arxiv.1907.10964,
title = {Rigid analytic reconstruction of Hyodo--Kato theory},
author = {Veronika Ertl and Kazuki Yamada},
journal= {arXiv preprint arXiv:1907.10964},
year = {2025}
}
Comments
6th version, 88 pages. The definition of Hyodo--Kato cohomology is reverted to a previous version