3 papers
math.AG2026
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…
math.AG2025
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…
math.AG2025
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.