Name
Abstract | ||
|---|---|---|
V. Golyshev conjectured that for any smooth polytope P with dim(P)≤5 the roots z∈ℂ of the Ehrhart polynomial for P have real part equal to −1/2. An elementary proof is given, and in each dimension the roots are described explicitly. We also present examples which demonstrate that this result cannot be extended to dimension six. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1007/s00454-010-9275-y | Discrete & Computational Geometry |
Keywords | Field | DocType |
Lattice polytope,Ehrhart polynomial,Nonsingular toric Fano,Canonical line hypothesis | Topology,Combinatorics,Ehrhart polynomial,Polynomial,Elementary proof,Polytope,Fano plane,Mathematics | Journal |
Volume | Issue | ISSN |
46 | 3 | Discrete and Computational Geometry, 46 (2011), no. 3, 488-499 |
Citations | PageRank | References |
1 | 0.41 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gábor Hegedüs | 1 | 36 | 7.38 |
| Alexander M. Kasprzyk | 2 | 11 | 3.05 |