CLASSIFICATION OF EMPTY LATTICE 4-SIMPLICES OF WIDTH LARGER THAN TWO

摘要

A lattice d-simplex is the convex hull of d+1 affinely independent integer points in R-d. It is called empty if it contains no lattice point apart from its d+1 vertices. The classification of empty 3-simplices has been known since 1964 (White), based on the fact that they all have width one. But for dimension 4 no complete classification is known.