Chikara Nakayama

activity

20092026

most citedClassifying spaces of degenerating mixed Hodge structures, II: Spaces of SL(2)-orbits

22 citations · 42 across the 25 of their papers we have counts for

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math.AG2025

Logarithmic geometry and Frobenius, II

Kazuya Kato, Chikara Nakayama, Sampei Usui

Based on the strong analogy between the category of log mixed Hodge structures and the category $A_{X}$ of $ℓ$ -adic nature, which we have introduced in the previous part an…

math.AG2025

Logarithmic Tate conjectures over finite fields

Kazuya Kato, Chikara Nakayama, Sampei Usui

We formulate an analogue of Tate conjecture on algebraic cycles, for the log geometry over a finite field. We show that the weight-monodromy conjecture follows from this conjecture…