Overconvergent cohomology and quaternionic Darmon points.
We develop the (co)homological tools that make effective the construction of the quaternionic Darmon points introduced by Matthew Greenberg. In addition, we use the overconvergent cohomology techniques of Pollack-Pollack to allow for the efficient calculation of such points. Finally, we provide the...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/195264 |
| Acceso en línea: | https://hdl.handle.net/2445/195264 |
| Access Level: | acceso abierto |
| Palabra clave: | Teoria de nombres Formes automorfes Grups modulars Geometria algebraica aritmètica Number theory Automorphic forms Modular groups Arithmetical algebraic geometry |
| Sumario: | We develop the (co)homological tools that make effective the construction of the quaternionic Darmon points introduced by Matthew Greenberg. In addition, we use the overconvergent cohomology techniques of Pollack-Pollack to allow for the efficient calculation of such points. Finally, we provide the first numerical evidence supporting the conjectures on their rationality. |
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