paper

Higher rank inner products, Voronoi tilings and metric degenerations of tori

arXiv:2310.06523

Abstract

We introduce higher rank inner products on real and complex vector spaces and study their corresponding Voronoi tilings. We use the framework to describe metric degenerations of polarized tori and Hausdorff limits of Voronoi tilings of discrete sets.

65 pages, 12 figures. Comments welcome!