activity
19972021
most citedTsuji's Numerically Trivial Fibrations and Abundance

4 citations · 7 across the 14 of their papers we have counts for

collaborators

14 papers

math.AG2021

A note on Tsuji's criterion for numerical triviality

Shigetaka Fukuda

In this study, we give an alternative and elementary proof to Tsuji's criterion for a Cartier divisor to be numerically trivial.

math.AG2019

Note on the semiampleness theorem for the log canonical divisors on klt varieties which are nef and abundant

Shigetaka Fukuda

We give another alternative proof to the Kawamata semiampleness theorem for the log canonical divisors on klt varieties which are nef and abundant. After the first version of this…

math.AG2010★ 3 cited

An elementary semi-ampleness result for log canonical divisors

Shigetaka Fukuda

If the log canonical divisor on a projective variety with only Kawamata log terminal singularities is numerically equivalent to some semi-ample -divisor, then it is sem…

math.AG2009

Note on quasi-numerically positive log canonical divisors

Shigetaka Fukuda

We propose a subconjecture that implies the semiampleness conjecture for quasi-numerically positive log canonical divisors and prove the semiampleness in some elementary cases.

math.AG2007

Algebraic fiber space whose generic fiber and base space are of almost general type

Shigetaka Fukuda

We assume that the existence and termination conjecture for flips holds. A complex projective manifold is said to be {\it of almost general type} if the intersection number of the…

math.AG2005

A note on the projective varieties of almost general type

Shigetaka Fukuda

A -Cartier divisor on a projective variety is {\it almost nup}, if for every very general curve on . An algebraic variety is of {\it al…