2 citations · 5 across the 3 of their papers we have counts for
7 papers
On inversion of adjunction
Osamu Fujino, Kenta Hashizume
We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon's inversion of adjunct…
Non-vanishing theorem for generalized log canonical pairs with a polarization
Kenta Hashizume
We prove that the non-vanishing conjecture holds for generalized lc pairs with a polarization.
Relations between two log minimal models of log canonical pairs
Kenta Hashizume
We study relations between two log minimal models of a fixed lc pair. For any two log minimal models of an lc pair constructed with log MMP, we prove that there are small birationa…
On minimal model theory for log abundant lc pairs
Kenta Hashizume, Zhengyu Hu
Under the assumption of the minimal model theory for projective klt pairs of dimension , we establish the minimal model theory for lc pairs such that the log canonical…
Log Iitaka conjecture for abundant log canonical fibrations
Kenta Hashizume
We prove that the log Iitaka conjecture holds for log canonical fibrations when log canonical divisor of a sufficiently general fiber is abundant.
A class of singularity of arbitrary pairs and log canonicalizations
Kenta Hashizume
We define a class of singularity on arbitrary pairs of a normal variety and an effective -divisor on it, which we call pseudo-lc in this paper. This is a generalization…