12 citations · 24 across the 13 of their papers we have counts for
13 papers
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.
Classification of toric log del Pezzo surfaces with few singular points
Yusuke Suyama
We give a classification of toric log del Pezzo surfaces with two or three singular points.
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…
Fano generalized Bott manifolds
Yusuke Suyama
We give a necessary and sufficient condition for a generalized Bott manifold to be Fano or weak Fano. As a consequence we characterize Fano Bott manifolds.
Notes on toric Fano varieties associated to building sets
Yusuke Suyama
This article gives an overview of toric Fano and toric weak Fano varieties associated to graphs and building sets. We also study some properties of such toric Fano varieties and di…
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…
Toric Fano varieties associated to graph cubeahedra
Yusuke Suyama
We give a necessary and sufficient condition for the nonsingular projective toric variety associated to the graph cubeahedron of a finite simple graph to be Fano or weak Fano in te…
Toric weak Fano varieties associated to building sets
Yusuke Suyama
We give a necessary and sufficient condition for the nonsingular projective toric variety associated to a building set to be weak Fano in terms of the building set.
Toric Fano varieties associated to building sets
Yusuke Suyama
We characterize building sets whose associated nonsingular projective toric varieties are Fano. Furthermore, we show that all such toric Fano varieties are obtained from smooth Fan…
Ehrhart polynomials of 3-dimensional simple integral convex polytopes
Yusuke Suyama
We give an explicit formula on the Ehrhart polynomial of a 3-dimensional simple integral convex polytope by using toric geometry.
Toric Fano varieties associated to finite simple graphs
Yusuke Suyama
We give a necessary and sufficient condition for the nonsingular projective toric variety associated to a finite simple graph to be Fano or weak Fano in terms of the graph.
Simplicial 2-spheres obtained from non-singular complete fans
Yusuke Suyama
We prove that a simplicial 2-sphere satisfying a certain condition is the underlying simplicial complex of a 3-dimensional non-singular complete fan. In particular, this implies th…
Examples of toric manifolds which are not quasitoric manifolds
Yusuke Suyama
We construct toric manifolds of complex dimension , whose orbit spaces by the action of the compact torus are not homeomorphic to simple polytopes (as manifolds with corner…