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- Title
On the classification of convex lattice polytopes (II).
- Authors
Zong, C.
- Abstract
In 1980, V. I. Arnold studied the classification problem for convex lattice polygons of given area. Since then this problem and its analogues have been studied by several authors, upper bounds for the numbers of non-equivalent d-dimensional convex lattice polytopes of given volume or fixed number of lattice points have been achieved. In this paper, by introducing and studying the unimodular groups acting on convex lattice polytopes, we obtain a lower bound for the number of non-equivalent d-dimensional centrally symmetric convex lattice polytopes of given number of lattice points, which is essentially tight.
- Subjects
LATTICE theory; POLYTOPES; INFORMATION science; AMATEUR theater; POLYGONS
- Publication
Advances in Geometry, 2014, Vol 14, Issue 2, p239
- ISSN
1615-715X
- Publication type
Article
- DOI
10.1515/advgeom-2013-0022