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arXiv · 2511.17019

Logarithmic geometry and Frobenius, II

Kazuya Kato·Chikara Nakayama·Sampei Usui
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Abstract

Based on the strong analogy between the category of log mixed Hodge structures and the category ${\cal A}_X$ of $\ell$-adic nature, which we have introduced in the previous part and is closely related to the weight-monodromy conjecture, we prove the $\ell$-adic analogues of some theorems in Hodge theory related to the SL(2)-orbit theorem.

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Kazuya Kato, Chikara Nakayama, Sampei Usui. 2025-11-21. Logarithmic geometry and Frobenius, II. https://arxiv.org/abs/2511.17019

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