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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.AG2002
On the Equations Defining Toric L.C.I. Singularities
Dimitrios I. Dais, Martin Henk
Based on Nakajima's Classification Theorem we describe the precise form of the binomial equations which determine toric locally complete intersection ("l.c.i'') singularities.
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…