22 citations · 80 across the 37 of their papers we have counts for
37 papers
Logarithmic Dieudonne theory
Kazuya Kato
We develop the theory of logarithmic p-divisible groups and the theory of logarithmic finite locally free commutative group schemes.
Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log functions
Kazuya Kato, Chikara Nakayama, Sampei Usui
To advance our log Hodge theory, we introduce log real analytic functions and log functions, define how to integrate them, and prove the log Poincaré lemma. We give be…
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.
Toroidal compactifications and Borel--Serre compactifications
Kazuya Kato, Chikara Nakayama, Sampei Usui
We discuss connections of toroidal compactifications and Borel--Serre compactifications in view of the fundamental diagram of extended period domains. We give a complement to a wor…