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Projecting Lattice Polytopes Without Interior Lattice Points

Projecting Lattice Polytopes Without Interior Lattice Points

We show that up to unimodular equivalence in each dimension there are only finitely many lattice polytopes without interior lattice points that do not admit a lattice projection onto a lower-dimensional lattice polytope without interior lattice points. This was conjectured by Treutlein [Treutlein, J. 2008. 3-Dimensional lattice polytopes without interior …