99 citations · 584 across the 98 of their papers we have counts for
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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…
On quasi-log schemes
Osamu Fujino
The notion of quasi-log schemes was first introduced by Florin Ambro in his epoch-making paper: Quasi-log varieties. In this paper, we establish the basepoint-free theorem of Reid-…
Adjunction and inversion of adjunction
Osamu Fujino, Kenta Hashizume
We establish adjunction and inversion of adjunction for log canonical centers of arbitrary codimension in full generality.
Existence of log canonical modifications and its applications
Osamu Fujino, Kenta Hashizume
The main purpose of this paper is to establish some useful partial resolutions of singularities for pairs from the minimal model theoretic viewpoint. We first establish the existen…
Cone theorem and Mori hyperbolicity
Osamu Fujino
We discuss the cone theorem for quasi-log schemes and the Mori hyperbolicity. In particular, we establish that the log canonical divisor of a Mori hyperbolic projective normal pair…
Nakai--Moishezon ampleness criterion for real line bundles
Osamu Fujino, Keisuke Miyamoto
We show that the Nakai--Moishezon ampleness criterion holds for real line bundles on complete schemes. As applications, we treat the relative Nakai--Moishezon ampleness criterion f…