Minimal volume $k$-point lattice $d$-simplices

Details Minimal volume $k$-point lattice $d$-simplices Minimal volume $k$-point lattice $d$-simplices

2008-04-17

arxiv.org/abs/0804.2910v1

Mathematics

Combinatorics

22 pages, 6 figures

Scientific paper

We extend the results of Bey, Hen, and Wills
(http://arxiv.org/abs/math/0606089). In this paper, we show that, up to
equivalence under unimodular transformations, there is exactly one class of
$d$-simplices having $k \ge 1$ interior lattice points and minimal volume
$\frac{1}{d!}(dk+1)$.

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