Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
The aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/86360 |
| Acceso en línea: | https://hdl.handle.net/2117/86360 |
| Access Level: | acceso abierto |
| Palabra clave: | Curves, Elliptic Arithmetical Shimura varieties Varietats de Shimura Àlgebra Corbes modulars Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
| Sumario: | The aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that predicts that any automorphism must be an Atkin-Lehner involution. |
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