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19982026
most citedHyper Suprime-Cam Year 3 Results: Cosmology from Cosmic Shear Power Spectra

213 citations

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7 papers · 1 filter

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.AG2008

Three-dimensional terminal toric flips

Osamu Fujino, Hiroshi Sato, Yukishige Takano +1

We describe three-dimensional terminal toric flips. We obtain the complete local description of three-dimensional terminal toric flips.

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.AG2006

Three-dimensional toric morphisms with anti-nef canonical divisors

Hiroshi Sato

In this paper, we classify projective toric birational morphisms from Gorenstein toric 3-folds onto the 3-dimensional affine space with relatively ample anti-canonical divisors.

math.AG2003

On log canonical divisors that are log quasi-numerically positive

Shigetaka Fukuda

Let be a four-dimensional log variety that is projective over the field of complex numbers. Assume that is not Kawamata log terminal (klt) but divisorial log term…

math.AG1999

Decomposition of log crepant birational morphisms between log terminal surfaces

Shigetaka Fukuda

We prove that every log crepant birational morphism between log terminal surfaces is decomposed into log-flopping type divisorial contraction morphisms and log blow-downs. Repeatin…

math.AG1998

A Base Point Free Theorem of Reid Type, II

Shigetaka Fukuda

Let be a complete algebraic variety over {\bf C}. We consider a log variety that is weakly Kawamata log terminal. We assume that is a {\bf Q}-Cartier {\bf Q}-di…