Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2311.16617 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914677080981504 |
|---|---|
| author | Hung, Bao Viet Le Mézard, Ariane Morra, Stefano |
| author_facet | Hung, Bao Viet Le Mézard, Ariane Morra, Stefano |
| contents | We develop a local model theory for moduli stacks of $2$-dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extension of $\mathbb{Q}_p$. We derive from this explicit presentations of potentially Barsotti--Tate deformation rings, allowing us to prove structural results about them, and prove various conjectures formulated by Caruso--David--Mézard. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16617 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Local model theory for non-generic tame potentially Barsotti--Tate deformation rings Hung, Bao Viet Le Mézard, Ariane Morra, Stefano Number Theory We develop a local model theory for moduli stacks of $2$-dimensional non-scalar tame potentially Barsotti--Tate Galois representations of the Galois group of an unramified extension of $\mathbb{Q}_p$. We derive from this explicit presentations of potentially Barsotti--Tate deformation rings, allowing us to prove structural results about them, and prove various conjectures formulated by Caruso--David--Mézard. |
| title | Local model theory for non-generic tame potentially Barsotti--Tate deformation rings |
| topic | Number Theory |
| url | https://arxiv.org/abs/2311.16617 |