Voronoi diagrams of algebraic varieties under polyhedral norms

Autor:	Adrian Becedas, Kathlén Kohn, Lorenzo Venturello
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Computational Mathematics Mathematics - Algebraic Geometry Algebra and Number Theory Mathematics - Metric Geometry 51F99 14N10 49Q22 FOS: Mathematics Metric Geometry (math.MG) Algebraic Geometry (math.AG)
Zdroj:	Kathlén Kohn
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6b3c8698032e905873b56ece4f57a14 http://arxiv.org/abs/2209.11463 Zobrazit plný text záznamu