On Empty Lattice Simplices in Dimension 4
نویسندگان
چکیده
We give an almost complete classification of empty lattice simplices in dimension 4 using the conjectural results of Mori-Morrison-Morrison, later proved by Sankaran and Bober. In particular, all of these simplices correspond to cyclic quotient singularities, and all but finitely many of them have width bounded by 2.
منابع مشابه
On the Maximal Width of Empty Lattice Simplices
A k-dimensional lattice simplex σ ⊆ Rd is the convex hull of k + 1 affinely independent integer points. General lattice polytopes are obtained by taking convex hulls of arbitrary finite subsets of Zd . A lattice simplex or polytope is called empty if it intersects the lattice Zd only at its vertices. (Such polytopes are studied also under the names elementary and latticefree.) In dimensions d >...
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