p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913362644828160 |
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| author | Pérez-Piña, Patricio |
| author_facet | Pérez-Piña, Patricio |
| contents | We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at p as well as a p-adic covering of the modular curve. We also prove an equidistribution result of Heegner points in the p-adic space attached to Shimura curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16032 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves Pérez-Piña, Patricio Number Theory Dynamical Systems 11G15 (Primary), 11F85 (Secondary) We propose a p-adic version of Duke's Theorem on the equidistribution of closed geodesics on modular curves. Our approach concerns quadratic fields split at p as well as a p-adic covering of the modular curve. We also prove an equidistribution result of Heegner points in the p-adic space attached to Shimura curves. |
| title | p-adic equidistribution of modular geodesics and of Heegner points on Shimura curves |
| topic | Number Theory Dynamical Systems 11G15 (Primary), 11F85 (Secondary) |
| url | https://arxiv.org/abs/2405.16032 |