The Reflexive Dimension of a Lattice Polytope |
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| Authors: | Christian Haase Ilarion V. Melnikov |
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| Affiliation: | 1. Department of Mathematics and Computer Science, Freie Universit?t Berlin, D-14195, Berlin, Germany
2. Particle Theory Group, Enrico Fermi Institute, University of Chicago, Chicago, IL, 60637, USA
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| 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. Received July 2, 2004 |
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| Keywords: | reflexive polytopes |
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