1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Extended period domains, algebraic groups, and higher Albanese manifolds
Kazuya Kato, Chikara Nakayama, Sampei Usui
For a linear algebraic group G over the field of rational numbers, we consider the period domains D classifying G-mixed Hodge structures, and construct the extended period domains…
On rational points of orthogonal group
Masanori Kobayashi, Chikara Nakayama
Let be a positive integer. We show that a unit rational space vector whose multiple by is an integer vector can be extended to a rational orthonormal basis whose all member…