The reviewed record of science sign in
Pith

arxiv: 2209.11463 · v1 · pith:GJU3AO2K · submitted 2022-09-23 · math.AG · math.MG

Voronoi diagrams of algebraic varieties under polyhedral norms

Adrian Becedas , Kathl\'en Kohn , Lorenzo Venturello This is my paper

Reviewed by Pith T0 review T1 audit T2 compute T3 formal T4 kernel pith:GJU3AO2Krecord.jsonopen to challenge →

classification math.AG math.MG
keywords voronoipolyhedralvarietiesalgebraiccellsdiagramsnormsapplication
0
0 comments X
read the original abstract

We study Voronoi diagrams of manifolds and varieties with respect to polyhedral norms. We provide upper and lower bounds on the dimensions of Voronoi cells. For algebraic varieties, we count their full-dimensional Voronoi cells. As an application, we consider the polyhedral Wasserstein distance between discrete probability distributions.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.