School of Mathematical and Statistical Sciences Faculty Publications and Presentations

Document Type

Article

Publication Date

2019

Abstract

We prove the Voronoi conjecture for five-dimensional parallelohedra. Namely, we show that if a convex five-dimensional polytope P tiles R5 with translations, then P is an affine image of the Dirichlet-Voronoi cell for a five-dimensional lattice.

Included in

Mathematics Commons

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