Normal polytopes: between discrete, continuous, and random
Combinatorics
2022-06-20 v2 Commutative Algebra
History and Overview
Number Theory
Abstract
The first three sections of this survey represent an updated and much expanded version of the abstract of my talk at FPSAC'2010: new results are incorporated and several concrete conjectures on the interactions between the three perspectives on normal polytopes in the title are proposed. The last section outlines new challenges in general convex polytopes, motivated by the study of normal polytopes.
Cite
@article{arxiv.2206.06306,
title = {Normal polytopes: between discrete, continuous, and random},
author = {Joseph Gubeladze},
journal= {arXiv preprint arXiv:2206.06306},
year = {2022}
}
Comments
final version: minor expositional improvements made and typos corrected