arXiv math/05071192005-07math.COmath.MG

Lattice Delone simplices with super-exponential volume

F. Santos, A. Schuermann, F. Vallentin

备注：: 7 pages; v2: revised version improves our exponential lower bound to a super-exponential one
发表信息：: European Journal of Combinatorics 28 (2007), 801-806
DOI：: 10.1016/j.ejc.2005.12.003

英文摘要：

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.

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