4 papers
An affine local criterion for toric projective space bundles
Osamu Fujino, Hiroshi Sato
We study when an equidimensional toric morphism is forced to be a projective-space bundle. Our main result is an affine rigidity theorem: if the base space is affine, the toric rel…
Non-projective complete log canonical surfaces
Osamu Fujino, Nao Moriyama, Hiroshi Sato
We construct non-projective complete log canonical algebraic surfaces whose canonical divisors are semi-ample over an algebraically closed field of any characteristic other than th…
On non-projective complete toric varieties
Osamu Fujino, Hiroshi Sato
For every complete toric variety, there exists a projective toric variety which is isomorphic to it in codimension one. In this paper, we show that every smooth non-projective comp…
On toric foliated pairs
Osamu Fujino, Hiroshi Sato
We discuss lengths of extremal rational curves, Fujita's freeness, and the Kodaira vanishing theorem for log canonical toric foliated pairs.