Lattice Delone simplices with super-exponential volume
Combinatorics
2007-05-23 v2 Metric Geometry
Abstract
In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear.
Cite
@article{arxiv.math/0507119,
title = {Lattice Delone simplices with super-exponential volume},
author = {F. Santos and A. Schuermann and F. Vallentin},
journal= {arXiv preprint arXiv:math/0507119},
year = {2007}
}
Comments
7 pages; v2: revised version improves our exponential lower bound to a super-exponential one