$K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910291219972096 |
|---|---|
| author | Brunault, François de Jeu, Rob Liu, Hang Villegas, Fernando Rodriguez |
| author_facet | Brunault, François de Jeu, Rob Liu, Hang Villegas, Fernando Rodriguez |
| contents | We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the curves. The fields are in general non-Abelian, and the elements linearly independent. For their integrality, we prove a new criterion that does not ignore any torsion. We also verify Beilinson's conjecture numerically for just over 90 of the curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | $K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields Brunault, François de Jeu, Rob Liu, Hang Villegas, Fernando Rodriguez Number Theory Algebraic Geometry K-Theory and Homology 19E08, 19F27 (primary), 11G40 (secondary) We give two constructions of families of elliptic curves over cubic or quartic fields with three, respectively four, `integral' elements in the kernel of the tame symbol on the curves. The fields are in general non-Abelian, and the elements linearly independent. For their integrality, we prove a new criterion that does not ignore any torsion. We also verify Beilinson's conjecture numerically for just over 90 of the curves. |
| title | $K_2$ of families of elliptic curves over non-Abelian cubic and quartic fields |
| topic | Number Theory Algebraic Geometry K-Theory and Homology 19E08, 19F27 (primary), 11G40 (secondary) |
| url | https://arxiv.org/abs/2401.04510 |