Non-Isomorphic Abelian Varieties with the Same Arithmetic
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912513994522624 |
|---|---|
| author | Bell, Jamie |
| author_facet | Bell, Jamie |
| contents | We construct two abelian varieties over $\mathbb{Q}$ which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02254 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-Isomorphic Abelian Varieties with the Same Arithmetic Bell, Jamie Number Theory 11G10, 14K02 We construct two abelian varieties over $\mathbb{Q}$ which are not isomorphic, but have isomorphic Mordell--Weil groups over every number field, isomorphic Tate modules and equal values for several other invariants. |
| title | Non-Isomorphic Abelian Varieties with the Same Arithmetic |
| topic | Number Theory 11G10, 14K02 |
| url | https://arxiv.org/abs/2502.02254 |