Gaku Liu:Unimodular triangulations of sufficiently large dilations

Abstract: An integral polytope is a polytope whose vertices have integer coordinates. A unimodular triangulation of an integral polytope in $\bb R^d$ is a triangulation in which all simplices are integral with volume $1/d!$. A classic result of Kempf, Mumford, and Waterman states that for every integral polytope $P$, there exists a positive integer $c$ such that $cP$ has a unimodular triangulation. We strengthen this result by showing that for every integral polytope $P$, there exists $c$ such that for every positive integer $c' \ge c$, $c'P$ admits a unimodular triangulation.

Zoom meeting ID: 654 5562 3260

Zoom link: https://kth-se.zoom.us/j/65455623260