6 papers · 1 filter
On the gap between the integral and rational Gongyo indices of toric Fano varieties
Hiroshi Sato
Exact calculations for smooth toric Fano varieties in dimensions at most seven suggest a sharp dimension-dependent lower bound for the positive difference between the rational and…
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 divisor is semi-ample over any algebraically closed field other than the algebraic closure of…
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.
A remark on toric foliations
Osamu Fujino, Hiroshi Sato
If a toric foliation on a projective Q-factorial toric variety has an extremal ray whose length is longer than the rank of the foliation, then the associated extremal contraction i…