1 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
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…
Studies of closed/open mirror symmetry for quintic threefold through log mixed Hodge theory
Sampei Usui
We correct the definitions and descriptions of the integral structures in [U14]. The previous flat basis in [ibid] is characterized by the Frobenius solutions and integral in the f…