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Convex hulls of integral points. (English) Zbl 1025.52006
Let $$C$$ be a polyhedron in $$\mathbb R^d$$. If $$C$$ is not compact, then the convex hull of $$C\cap{\mathbb Z}^d$$ is not necessarily a polyhedron or even a closed set. In the paper the notion of $$A$$-polyhedron is introduced and it is proved that if $$C$$ is an $$A$$-polyhedron, then the convex hull of $$C\cap{\mathbb Z}^d$$ is a generalized polyhedron (i.e. its intersection with any compact polyhedron is a polyhedron as well).
Reviewer: E.S.Golod (Moskva)

##### MSC:
 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces)
##### Keywords:
polyhedron; convex hull
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