Nearly Gorenstein numerical semigroups with five generators have bounded type
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915103308251136 |
|---|---|
| author | Moscariello, Alessio Strazzanti, Francesco |
| author_facet | Moscariello, Alessio Strazzanti, Francesco |
| contents | We prove that the type of nearly Gorenstein numerical semigroups minimally generated by $5$ integers is bounded. In particular, if such a semigroup is not almost symmetric, then its type is at most $40$. Finally, we make some considerations in higher embedding dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nearly Gorenstein numerical semigroups with five generators have bounded type Moscariello, Alessio Strazzanti, Francesco Commutative Algebra 13H10, 20M14, 20M25 We prove that the type of nearly Gorenstein numerical semigroups minimally generated by $5$ integers is bounded. In particular, if such a semigroup is not almost symmetric, then its type is at most $40$. Finally, we make some considerations in higher embedding dimension. |
| title | Nearly Gorenstein numerical semigroups with five generators have bounded type |
| topic | Commutative Algebra 13H10, 20M14, 20M25 |
| url | https://arxiv.org/abs/2501.08260 |