10 citations · 46 across the 16 of their papers we have counts for
16 papers
Notes on acceptable bundles II
Osamu Fujino, Taro Fujisawa, Takashi Ono
The notion of acceptable bundles plays a fundamental role in the Simpson--Mochizuki theory. We study acceptable bundles on a partially punctured polydisk in detail. While this arti…
Notes on acceptable bundles I
Osamu Fujino, Taro Fujisawa, Takashi Ono
The notion of acceptable bundles plays a fundamental role in the Simpson--Mochizuki theory. This paper presents a detailed study of acceptable bundles on a punctured disk. In addit…
On the Kodaira dimension
Osamu Fujino, Taro Fujisawa
We discuss the behavior of the Kodaira dimension under smooth morphisms.
Geometric polarized log Hodge structures for semistable families
Taro Fujisawa, Chikara Nakayama
We prove that a projective semistable morphism of fs log analytic spaces yields polarized log Hodge structures in the canonical way.
Variation of mixed Hodge structure and its applications
Osamu Fujino, Taro Fujisawa
We discuss variations of mixed Hodge structure arising from projective morphisms of complex analytic spaces. Then we treat generalizations of Kollár's torsion-free theorem, vanishi…
A remark on the nilpotent orbit theorem for unipotent complex variations of Hodge structure
Taro Fujisawa
We present a new proof of a part of the nilpotent orbit theorem for unipotent complex variations of Hodge structure. In our proof, the extension theorem of Ohsawa-Takegoshi t…
Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration
Taro Fujisawa
We prove that the relative log de Rham cohomology groups of a projective semistable log smooth degeneration admit a natural \textit{limiting} mixed Hodge structure. More precisely,…
Geometric polarized log Hodge structures with a base of log rank one
Taro Fujisawa, Chikara Nakayama
We prove that a projective vertical exact log smooth morphism of fs log analytic spaces with a base of log rank one yields polarized log Hodge structures in the canonical way.
Fundamental properties of basic slc-trivial fibrations, II
Osamu Fujino, Taro Fujisawa, Haidong Liu
We prove that if the moduli -b-divisor of a basic slc-trivial fibration is b-numerically trivial then it is -b-linearly trivial. As a consequence, we prove th…
A remark on semipositivity theorems
Taro Fujisawa
We propose a new class of filtered vector bundles, which is related to variation of (mixed) Hodge structures and give a slight generalization of the Fujita--Zucker--Kawamata semipo…
On semipositivity theorems
Osamu Fujino, Taro Fujisawa
We generalize the Fujita--Zucker--Kawamata semipositivity theorem from the analytic viewpoint.
A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles
Taro Fujisawa
The purpose of this short note is to give a remark on the decomposition theorem for direct images of canonical sheaves tensorized with Nakano semipositive vector bundles. Although…
Limits of Hodge structures in several variables, II
Taro Fujisawa
The aim of this article is to study degeneration of the variations of Hodge structure associated to a proper Kähler semistable morphism. We prove that the weight filtrations constr…
Polarizations on limiting mixed Hodge structures
Taro Fujisawa
We construct a polarization on the relative log de Rham cohomology groups of a projective log deformation. To this end, we study the behavior of weight and Hodge filtrations under…
Some remarks on the semi-positivity theorems
Osamu Fujino, Taro Fujisawa, Morihiko Saito
We show that the dualizing sheaves of reduced simple normal crossings pairs have a canonical weight filtration in a compatible way with the one on the corresponding mixed Hodge mod…
Variations of mixed Hodge structure and semi-positivity theorems
Osamu Fujino, Taro Fujisawa
We discuss the variations of mixed Hodge structure for cohomology with compact support of quasi-projective simple normal crossing pairs. We show that they are graded polarizable ad…