4 papers
math.AG2026
Duals of log abelian varieties
Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
We prove the existence of the dual of a polarizable log abelian variety.
math.AG2026
Tangential morphisms via log arithmetic geometry
Yuichiro Hoshi, Makoto Matsumoto, Chikara Nakayama
We give a reformulation of tangential morphisms (which is a generalization of Deligne's tangential base point) via log geometry.
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 of -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…