On abelian varieties whose torsion is not self-dual
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911158015885312 |
|---|---|
| author | Frei, Sarah Honigs, Katrina Voight, John |
| author_facet | Frei, Sarah Honigs, Katrina Voight, John |
| contents | We construct infinitely many abelian surfaces A defined over the rational numbers such that, for a prime ell <= 7, the ell-torsion subgroup of A is not isomorphic as a Galois module to the ell-torsion subgroup of its dual. We do this by explicitly analyzing the action of the Galois group on the ell-adic Tate module and its reduction modulo ell. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_00531 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On abelian varieties whose torsion is not self-dual Frei, Sarah Honigs, Katrina Voight, John Number Theory Algebraic Geometry We construct infinitely many abelian surfaces A defined over the rational numbers such that, for a prime ell <= 7, the ell-torsion subgroup of A is not isomorphic as a Galois module to the ell-torsion subgroup of its dual. We do this by explicitly analyzing the action of the Galois group on the ell-adic Tate module and its reduction modulo ell. |
| title | On abelian varieties whose torsion is not self-dual |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2309.00531 |