The Reflexive Dimension of a Lattice Polytope
By Christian Haase, Ilarion V. Melnikov. 2004
52 citations recorded by the source corpus.
Abstract.The reflexive dimension refldim(P) of a lattice polytope P is the minimal integer 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.
View Paper: https://www.semanticscholar.org/paper/68e179eb42b554619758169ba6210350908472f7
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Citations in the corpus
- Unimodality problems in Ehrhart theory (2015, background): “Second, a result of Haase and Melnikov [33] states that every latticepolytope is a face of some reflexive polytope.”