3 citations · 4 across the 4 of their papers we have counts for
4 papers
On Gauss maps in positive characteristic in view of images, fibers, and field extensions
Katsuhisa Furukawa, Atsushi Ito
The Gauss map of a projective variety is a rational map from to a Grassmann variety. In positive characteristic, we show the following results. (1) For…
On birational geometry of the space of parametrized rational curves in Grassmannians
Atsushi Ito
In this paper, we study the birational geometry of the Quot schemes of trivial bundles on by constructing small -factorial modifications of the Quot sche…
Gauss maps of toric varieties
Katsuhisa Furukawa, Atsushi Ito
We investigate Gauss maps of (not necessarily normal) projective toric varieties over an algebraically closed field of arbitrary characteristic. The main results are as follows: (1…
Seshadri constants via toric degenerations
Atsushi Ito
We give a method to estimate Seshadri constants on toric varieties at any point. By using the estimations and toric degenerations, we can obtain some new computations or estimation…