Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normal polytopes and ellipsoids   We show that: (1) unimodular simplices in a lattice 3-polytope cover a
neighborhood of the boundary of the polytope if and only if the polytope is
very ample, (2) the convex hull of lattice points in every ellipsoid in R^3 has
a unimodular cover, and (3) for every d at least 5, there are ellipsoids in
R^d, such that the convex hulls of the lattice points in these ellipsoids are
not even normal. Part (3) answers a question of Bruns, Michalek, and the
author.

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The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat