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math.MG2002
Successive Minima and Lattice Points
Martin Henk
The main purpose of this note is to prove an upper bound on the number of lattice points of a centrally symmetric convex body in terms of the successive minima of the body. This bo…
math.MG2002
On the representation of polyhedra by polynomial inequalities
Martin Grötschel, Martin Henk
A beautiful result of Bröcker and Scheiderer on the stability index of basic closed semi-algebraic sets implies, as a very special case, that every -dimensional polyhedron admit…