3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2025
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, vanish…