Toric Fano varieties associated to graph cubeahedra

Abstract

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 terms of the graph.

Keywords:

• Graph cubeahedra
• toric Fano varieties
• toric weak Fano varieties

2020 Mathematics Subject Classification:

• Primary: 14M25
• Secondary: 14J45, 52B20, 05C30

Acknowledgment

The author wishes to thank Professors Mikiya Masuda, Hidefumi Ohsugi and Seonjeong Park for their valuable comments.

Additional information

Funding

This work was supported by Grant-in-Aid for JSPS Fellows 15J01000 and 18J00022.