2 citations · 2 across the 6 of their papers we have counts for
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Duals of log abelian varieties
Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
We prove the existence of the dual of a polarizable log abelian variety.
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…
Albanese varieties with modulus and Hodge theory
Kazuya Kato, Henrik Russell
Let X be a proper smooth variety over the complex numbers. We consider the generalized Albanese variety Alb(X,Y) of X of modulus Y, which is a higher dimensional analogue of the ge…