129 citations · 185 across the 22 of their papers we have counts for
24 papers
Full termination of MMP for klt pairs with big boundaries
Kenta Hashizume
We prove the full termination of the minimal model program for klt pairs with big boundaries. We also prove the finiteness of marked Mori fiber spaces.
K-moduli of quasimaps and on quasi-projectivity of moduli of K-stable Calabi-Yau fibrations over curves
Kenta Hashizume, Masafumi Hattori
We construct a projective K-moduli space of quasimaps with a certain log Fano condition, which is regarded as a rational map from to a projective space. Moreover, we…
Minimal model program for normal pairs along log canonical locus
Kenta Hashizume
Let be a normal pair with a projective morphism and let be a relatively ample -divisor on . We prove the termination of some minimal model prog…
On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
Kenta Hashizume, Masafumi Hattori
We show boundedness of polarized Calabi--Yau fibrations over curves only with fixed volumes of general fibers and Iitaka volumes. As its application, we construct a separated coars…
A note on lc-trivial fibrations
Kenta Hashizume
For every lc-trivial fibration from an lc pair, we prove that after a base change, there exists a positive integer , depending only on the dimension of , the Ca…
Iitaka fibrations for dlt pairs polarized by a nef and log big divisor
Kenta Hashizume
We study lc pairs polarized by a nef and log big divisor. After proving the minimal model theory for projective lc pairs polarized by a nef and log big divisor, we prove the effect…
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…
Crepant semi-divisorial log terminal model
Kenta Hashizume
We prove the existence of a crepant sdlt model for slc pairs whose irreducible components are normal in codimension one.
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…
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.
Finiteness of log abundant log canonical pairs in log minimal model program with scaling
Kenta Hashizume
We study relations between the property of being log abundant for lc pairs and the termination of log MMP with scaling. We prove that any log MMP with scaling of an ample divisor s…
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…
Minimal model program for log canonical threefolds in positive characteristic
Kenta Hashizume, Yusuke Nakamura, Hiromu Tanaka
Given a three-dimensional projective log canonical pair over a perfect field of characteristic larger than five, there exists a minimal model program that terminates after finitely…
Non-vanishing theorem for lc pairs admitting a Calabi--Yau pair
Kenta Hashizume
We prove the non-vanishing conjecture for lc pairs when is of Calabi--Yau type.
Remarks on special kinds of the relative log minimal model program
Kenta Hashizume
We prove -boundary divisor versions of results proved by Birkar or Hacon-Xu on special kinds of the relative log minimal model program.
On the non-vanishing conjecture and existence of log minimal models
Kenta Hashizume
We prove that the non-vanishing conjecture and the log minimal model conjecture for projective log canonical pairs can be reduced to the non-vanishing conjecture for smooth project…
Minimal model theory for relatively trivial log canonical pairs
Kenta Hashizume
We study relative log canonical pairs with relatively trivial log canonical divisors. We fix such a pair and establish the minimal model theory for the pair assum…
Remarks on the abundance conjecture
Kenta Hashizume
We prove the abundance theorem for log canonical -folds such that the boundary divisor is big assuming the abundance conjecture for log canonical -folds. We also discuss…
Finite generation of adjoint ring for log surfaces
Kenta Hashizume
We prove the finite generation of the adjoint ring for -factorial log surfaces over any algebraically closed field.
A commutative algebra on degenerate CP^1 and Macdonald polynomials
B. Feigin, K. Hashizume, A. Hoshino +2
We introduce a unital associative algebra A over degenerate CP^1. We show that A is a commutative algebra and whose Poincar'e series is given by the number of partitions. Thereby w…