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The reflexive dimension of a lattice polytope

Christian Haase·Ilarion V. Melnikov
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Abstract

The reflexive dimension refldim(P) of a lattice polytope P is the minimal d so that P is the face of some d-dimensional reflexive polytope. We show that refldim(P) is finite for every P, and give bounds for refldim(kP) in terms of refldim(P) and k.

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Christian Haase, Ilarion V. Melnikov. 2004-06-23. The reflexive dimension of a lattice polytope. https://arxiv.org/abs/math/0406485

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