Semigroups of Integer Points in Convex Cones
Number Theory
2025-04-23 v1 Optimization and Control
Abstract
We study the question whether the affine semigroup of integer points in a convex cone can be finitely generated up to symmetries of the cone. We establish general properties of finite generation up to symmetry, and then concentrate on the case of irrational polyhedral cones.
Cite
@article{arxiv.2504.15537,
title = {Semigroups of Integer Points in Convex Cones},
author = {Grigoriy Blekherman and Jesús A. De Loera and Luze Xu and Shixuan Zhang},
journal= {arXiv preprint arXiv:2504.15537},
year = {2025}
}