Bibliographic Details
| Title: |
The 3-adic representations arising from elliptic curves over $\mathbb{Q}_3$ with potential good reduction |
| Authors: |
Bosco, Giovanni |
| Publication Year: |
2023 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Number Theory |
| More Details: |
We give a complete classification of all the potentially crystalline 3-adic representations of the absolute Galois group of $\mathbb{Q}_3$ that are isomorphic to the Tate module of an elliptic curve defined over $\mathbb{Q}_3$. These representations are described in terms of their associated filtered $(\varphi, \mathrm{Gal}(K/\mathbb{Q}_3))$-modules. The most interesting cases occur when the potential good reduction is wild. |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2302.13592 |
| Accession Number: |
edsarx.2302.13592 |
| Database: |
arXiv |
