Flat semigroups and weighted homogeneous surface singularities
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908776594931712 |
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| author | Baja, Zsolt László, Tamás |
| author_facet | Baja, Zsolt László, Tamás |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14675 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Flat semigroups and weighted homogeneous surface singularities Baja, Zsolt László, Tamás Algebraic Geometry Combinatorics Geometric Topology 20M14, 32S05, 32S25, 32S50 (Primary) 14B05 (Secondary) 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. |
| title | Flat semigroups and weighted homogeneous surface singularities |
| topic | Algebraic Geometry Combinatorics Geometric Topology 20M14, 32S05, 32S25, 32S50 (Primary) 14B05 (Secondary) |
| url | https://arxiv.org/abs/2302.14675 |