3 citations · 11 across the 21 of their papers we have counts for
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Anti-flips of the blow-ups of the projective spaces at torus invariant points
Hiroshi Sato, Shigehito Tsuzuki
We explicitly construct the smooth toric Fano variety which is isomorphic to the blow-up of the projective space at torus invariant points in codimension one by anti-flips.
Toric Fano manifolds of dimension at most eight with positive second Chern characters
Yuji Sano, Hiroshi Sato, Yusuke Suyama
We show that any toric Fano manifold of dimension at most eight with the positive second Chern character is isomorphic to the projective space by using polymake.
Remarks on toric manifolds whose Chern characters are positive
Hiroshi Sato, Yusuke Suyama
We show that the second Chern character of any projective toric manifold of Picard number three is not ample. In connection with this result, we give various examples of the positi…
A sufficient condition for a toric weak Fano 4-fold to be deformed to a Fano manifold
Hiroshi Sato
In this paper, we introduce the notion of toric special weak Fano manifolds, which have only special primitive crepant contractions. We study the structure of them, and in particul…
Examples of singular toric varieties with certain numerical conditions
Hiroshi Sato, Yusuke Suyama
We give various examples of Q-factorial projective toric varieties such that the sum of the squared torus invariant prime divisors is positive. We also determine the generators for…
Terminal toric Fano three-folds with certain numerical conditions
Hiroshi Sato, Ryota Sumiyoshi
We completely classify the Q-factorial terminal toric Fano three-folds such that the sum of the squared torus invariant prime divisors is non-negative.