Flat semigroups and weighted homogeneous surface singularities
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.
Fields of Study & Subjects
Commutative Algebra and Its Applications
Advanced Numerical Analysis Techniques
Topological and Geometric Data Analysis
Publication details
- Journal / source
- Algebraic & Geometric Topology
- Volume
- 26
- Issue
- 1
- Pages
- 201–226
- Publication date
- 16 January 2026
- Language
- EN