44 citations · 182 across the 28 of their papers we have counts for
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math.NT2006★ 43 cited
Classification of eight dimensional perfect forms
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
In this paper, we classify the perfect lattices in dimension 8. There are 10916 of them. Our classification heavily relies on exploiting symmetry in polyhedral computations. Here w…
math.MG2006★ 10 cited
A generalization of Voronoi's reduction theory and its application
Mathieu Dutour Sikiric, Achill Schuermann, Frank Vallentin
We consider Voronoi's reduction theory of positive definite quadratic forms which is based on Delone subdivision. We extend it to forms and Delone subdivisions having a prescribed…