1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.AG2023
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…
math.AG2016★ 1 cited
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…
math.AG2014★ 1 cited
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…