7 papers
The zariskian p-adic bifiltered El Zein-Steenbrink-Zucker complex of a proper SNCL scheme with a relative SNCD
Yukiyoshi Nakkajima
We formulate the log -adic relative monodromy-weight conjecture and prove it in certain cases.
The -adic bifiltered El Zein-Steenbrink-Zucker complex of a proper SNCL scheme with a relative SNCD
Yukiyoshi Nakkajima
For a family of log points with constant log structure and for a proper SNCL scheme with an SNCD over the family, we construct a fundamental l-adic bifiltered complex as a geometri…
Theory of weights for log convergent cohomologies I: the case of a proper smooth scheme with an SNCD in characteristic p>0
Yukiyoshi Nakkajima, Atsushi Shiho
Using log convergent topoi, %In the derived category of filtered complexes of %sheaves of modules over %an isostructure we define two fundamental filtered complexes …
Derived categories of bifiltered complexes
Yukiyoshi Nakkajima
We construct a fundamental theory of the derived category of non-finite bi-filtered complexes.
An ideal proof for Fujisawa's result and its generalization
Yukiyoshi Nakkajima
We give a generalization of Fujisawa's theorem in [F]. Our proof of the generalized theorem is purely algebraic and it is simpler than his proof.
Hirsch weight-filtered log crystalline complex and Hirsch weight-filtered log crystalline dga of a proper SNCL scheme in characteristic p>0
Yukiyoshi Nakkajima
We construct a theory of the derived PD-Hirsch extension of the log crystalline complex of a log smooth scheme and we construct a fundamental filtered dga $(H_{{\rm zar},{\rm TW}},…