22 citations · 42 across the 25 of their papers we have counts for
24 papers · 1 filter
Duals of log abelian varieties
Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
We prove the existence of the dual of a polarizable log abelian variety.
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.
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…
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…
Logarithmic geometry and Frobenius
Kazuya Kato, Chikara Nakayama, Sampei Usui
Based on the logarithmic algebraic geometry and the theory of Deligne systems, we define an abelian category of -adic sheaves with weight filtrations on a logarithmic scheme…
Geometric polarized log Hodge structures for semistable families
Taro Fujisawa, Chikara Nakayama
We prove that a projective semistable morphism of fs log analytic spaces yields polarized log Hodge structures in the canonical way.