Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.20841 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917680444866560 |
|---|---|
| author | Saettone, Francesco Maria |
| author_facet | Saettone, Francesco Maria |
| contents | We prove an equidistribution statement for the reduction of Galois orbits of CM points on the special fiber of a Shimura curve over a totally real field attached to some ramified primes. To do so we study the reduction of CM points in the special fiber and we use Ratner's theorem to obtain the desired equidistribution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_20841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equidistribution of CM points on a Shimura Curve modulo a ramified prime Saettone, Francesco Maria Number Theory 11G18 We prove an equidistribution statement for the reduction of Galois orbits of CM points on the special fiber of a Shimura curve over a totally real field attached to some ramified primes. To do so we study the reduction of CM points in the special fiber and we use Ratner's theorem to obtain the desired equidistribution. |
| title | Equidistribution of CM points on a Shimura Curve modulo a ramified prime |
| topic | Number Theory 11G18 |
| url | https://arxiv.org/abs/2405.20841 |