On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914298172801024 |
|---|---|
| author | Ishii, Shun |
| author_facet | Ishii, Shun |
| contents | We study a graded Lie algebra arising from the Galois action on the pro-$p$ fundamental group of a once-punctured elliptic curve with complex multiplication. Among other things, we provide a minimal generating set of the rationalized Lie algebra under suitable assumptions. The proof is based on a slight variant of the theory of weighted completion of profinite groups developed by Hain and Matsumoto. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_00615 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication Ishii, Shun Number Theory We study a graded Lie algebra arising from the Galois action on the pro-$p$ fundamental group of a once-punctured elliptic curve with complex multiplication. Among other things, we provide a minimal generating set of the rationalized Lie algebra under suitable assumptions. The proof is based on a slight variant of the theory of weighted completion of profinite groups developed by Hain and Matsumoto. |
| title | On graded Lie algebras associated to once-punctured elliptic curves with complex multiplication |
| topic | Number Theory |
| url | https://arxiv.org/abs/2602.00615 |