6 citations · 8 across the 10 of their papers we have counts for
10 papers
Quadratic generation of ideals defining nonsigular toric 3-folds
Shoetsu Ogata
Let be a projective line bundle over a nonsingular toric surface which is a blowup the projective plane along at most 4 invariant points, or a blowup the product of the project…
An inequality for the Delta-genus of toric varieties
Shoetsu Ogata, Riki Tabei
For a polarized toric variety (X,L) of dimension n less than 5, we give a lower bound of the Delta-genus by using the vanishing number of adjoint bundle of a multiple of L. We show…
Toric 3-folds defined by quadratic binomials
Shoetsu Ogata
Let be a polarized nonsingular toric 3-fold with not effective . Then for any ample line bundle on the image of the embedding by the complete linear system…
A characterization of Gorenstein toric Del Pezzo -folds
Shoetsu Ogata, Huai-Liang Zhao
We give a characterizaion of Gorenstein toric Fano -folds with index , which is called Gorenstein toric Del Pezzo -folds, among toric varieties. In practice, we obtain a…
A characterization of Gorenstein toric Fano -folds with index and Fujita's conjecture
Shoetsu Ogata, Huai-Liang Zhao
We give a characterization of Gorenstein toric Fano varieties of dimension with index among toric varieties. As an application, we give a strong version of Fujita's freenes…
Projective normality of toric 3-folds with non-big adjoint hyperplane sections, II
Shoetsu Ogata
Let be a nonsingular polarized toric 3-fold. We show that if the adjoint bundle of has no glabal section, then all ample line bundles on are normally generated. Ev…