Classification of empty lattice $4$-simplices of width larger than two
نویسندگان
چکیده
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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We study simplices whose vertices lie on a lattice and have no other lattice points. Suchèmpty lattice simplices' come up in the theory of integer programming, and in some combi-natorial problems. They have been investigated in various contexts and under varying terminology Can thèemptiness' of lattice simplices bèwell-characterized' ? Is theirìattice-width' small ? Do the integer points of the...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2019
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7531