22 citations · 42 across the 25 of their papers we have counts for
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Mixed objects are embedded into log pure objects
Kazuya Kato, Chikara Nakayama, Sampei Usui
We prove that a variation of mixed Hodge structure is embedded in a logarithmic variation of pure Hodge structure, and a generalized version of this result. These results suggest s…
Deligne--Beilinson cohomology and log Hodge theory
Kazuya Kato, Chikara Nakayama, Sampei Usui
We show that the description of Deligne--Beilinson cohomology is improved by using log Hodge theory. We consider the log relative version of it, and also present a fundamental conj…
Moduli of logarithmic abelian varieties with PEL structure
Takeshi Kajiwara, Kazuya Kato, Chikara Nakayama
We construct the fine moduli space of log abelian varieties with PEL structure, which gives a toroidal compactification of the moduli space of abelian varieties with PEL structure.