Name
Abstract | ||
|---|---|---|
The symmetric edge polytopes of odd cycles (del Pezzo polytopes) are known as smooth Fano polytopes. In this paper, we show that if the length of the cycle is 127, then the Ehrhart polynomial has a root whose real part is greater than the dimension. As a result, we have a smooth Fano polytope that is a counterexample to the two conjectures on the roots of Ehrhart polynomials. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s00454-012-9395-7 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Ehrhart polynomials,Gröbner bases,Gorenstein Fano polytopes | Topology,Combinatorics,Ehrhart polynomial,Polynomial,Polytope,Fano plane,Counterexample,Mathematics | Journal |
Volume | Issue | ISSN |
47 | 3 | Discrete and Computational Geometry 47 (2012), 624--628 |
Citations | PageRank | References |
2 | 0.75 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hidefumi Ohsugi | 1 | 27 | 10.42 |
| Kazuki Shibata | 2 | 2 | 1.08 |