Logarithmic geometry and Frobenius, II
Algebraic Geometry
2025-11-24 v1
Abstract
Based on the strong analogy between the category of log mixed Hodge structures and the category of -adic nature, which we have introduced in the previous part and is closely related to the weight-monodromy conjecture, we prove the -adic analogues of some theorems in Hodge theory related to the SL(2)-orbit theorem.
Cite
@article{arxiv.2511.17019,
title = {Logarithmic geometry and Frobenius, II},
author = {Kazuya Kato and Chikara Nakayama and Sampei Usui},
journal= {arXiv preprint arXiv:2511.17019},
year = {2025}
}