An Euler system for the adjoint of a modular form
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2023
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866929761929920512 |
|---|---|
| author | Loeffler, David Zerbes, Sarah Livia |
| author_facet | Loeffler, David Zerbes, Sarah Livia |
| contents | We construct an Euler system for the adjoint Galois representation of a modular form, using motivic cohomology classes arising from Hilbert modular surfaces. We use this Euler system to give an upper bound for the Selmer group of the adjoint representation over the cyclotomic Zp-extension, which agrees with the predictions of the Iwasawa main conjecture up to powers of p. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_04665 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | An Euler system for the adjoint of a modular form Loeffler, David Zerbes, Sarah Livia Number Theory 11F67 11F80 11G18 We construct an Euler system for the adjoint Galois representation of a modular form, using motivic cohomology classes arising from Hilbert modular surfaces. We use this Euler system to give an upper bound for the Selmer group of the adjoint representation over the cyclotomic Zp-extension, which agrees with the predictions of the Iwasawa main conjecture up to powers of p. |
| title | An Euler system for the adjoint of a modular form |
| topic | Number Theory 11F67 11F80 11G18 |
| url | https://arxiv.org/abs/2312.04665 |