Bounds for the relative class number problem for function fields
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912389909184512 |
|---|---|
| author | Arango-Piñeros, Santiago Chara, María Hamakiotes, Asimina S. Kedlaya, Kiran S. Rama, Gustavo |
| author_facet | Arango-Piñeros, Santiago Chara, María Hamakiotes, Asimina S. Kedlaya, Kiran S. Rama, Gustavo |
| contents | We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relative class number to a finite computation. We also solve the relative class number two problem in all cases where the base field has constant field not equal to $\mathbb{F}_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12467 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounds for the relative class number problem for function fields Arango-Piñeros, Santiago Chara, María Hamakiotes, Asimina S. Kedlaya, Kiran S. Rama, Gustavo Number Theory We establish bounds on a finite separable extension of function fields in terms of the relative class number, thus reducing the problem of classifying extensions with a fixed relative class number to a finite computation. We also solve the relative class number two problem in all cases where the base field has constant field not equal to $\mathbb{F}_2$. |
| title | Bounds for the relative class number problem for function fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2412.12467 |