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Minimal volume k-point lattice d-simplices

Algebra & Discrete Mathematics

Speaker: Han Duong, U. Illinois - Urbana-Champaign
Location: 1147 MSB
Start time: Fri, May 30 2008, 1:10PM

We improve upon recent results by Bey, Henk, and Wills and show that up to equivalence under unimodular transformations, there is exactly one class of minimal-volume lattice simplices in R^d having k>=1 interior lattice points.