Flat semigroups and weighted homogeneous surface singularities
Algebraic Geometry
2026-01-21 v2 Combinatorics
Geometric Topology
Abstract
We consider numerical semigroups associated with normal weighted homogeneous surface singularities with rational homology sphere links. We say that a semigroup is representable if it can be realized in this way. In this article, we study the representability of flat semigroups and prove that a numerical semigroup is representable if and only if it can be written as a quotient of a flat semigroup.
Cite
@article{arxiv.2302.14675,
title = {Flat semigroups and weighted homogeneous surface singularities},
author = {Zsolt Baja and Tamás László},
journal= {arXiv preprint arXiv:2302.14675},
year = {2026}
}
Comments
24 pages, corrected version, some parts are rewritten