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The hyperdeterminant and triangulations of the 4-cube
| Content Provider | CiteSeerX |
|---|---|
| Author | Sturmfels, Bernd Huggins, Peter Yu, Josephine Grier, Debbie |
| Abstract | Abstract. The hyperdeterminant of format 2 × 2 × 2 × 2 is a polynomial of degree 24 in 16 unknowns which has 2894276 terms. We compute the Newton polytope of this polynomial and the secondary polytope of the 4-cube. The 87959448 regular triangulations of the 4-cube are classified into 25448 D-equivalence classes, one for each vertex of the Newton polytope. The 4-cube has 80876 coarsest regular subdivisions, one for each facet of the secondary polytope, but only 268 of them come from the hyperdeterminant. 1. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Coarsest Regular Subdivision Regular Triangulation Secondary Polytope Newton Polytope D-equivalence Class |
| Content Type | Text |
| Resource Type | Article |
