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arxiv: math/0406485 · v1 · submitted 2004-06-23 · 🧮 math.CO · math.AG

The reflexive dimension of a lattice polytope

classification 🧮 math.CO math.AG
keywords refldimpolytopereflexivedimensionlatticeboundsd-dimensionalevery
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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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