English

The reflexive dimension of a lattice polytope

Combinatorics 2007-05-23 v1 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.math/0406485,
  title  = {The reflexive dimension of a lattice polytope},
  author = {Christian Haase and Ilarion V. Melnikov},
  journal= {arXiv preprint arXiv:math/0406485},
  year   = {2007}
}

Comments

9 pages, 2 figures

R2 v1 2026-07-22T17:07:06.938Z