Darmon points on elliptic curves over number fields of arbitrary signature
We present new constructions of complex and $p$-adic Darmon points on elliptic curves over base fields of arbitrary signature. We conjecture that these points are global and present numerical evidence to support our conjecture.
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión aceptada para publicación |
| Data de publicação: | 2015 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/193446 |
| Acesso em linha: | https://hdl.handle.net/2445/193446 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Teoria de nombres Grups discontinus Formes automorfes Geometria algebraica Number theory Discontinuous groups Automorphic forms Algebraic geometry |
| Resumo: | We present new constructions of complex and $p$-adic Darmon points on elliptic curves over base fields of arbitrary signature. We conjecture that these points are global and present numerical evidence to support our conjecture. |
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