Arithmetical problems in number fields, abelian varieties and modular forms

Number theory, a fascinating area in mathematics and one of the oldest, has experienced spectacular progress in recent years. The development of a deep theoretical background and the implementation of algorithms have led to new and interesting interrelations with mathematics in general which have pa...

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Detalles Bibliográficos
Autores: Bayer i Isant, Pilar, 1946-, Vila, Núria (Vila i Oliva), Arenas, A. (Àngela), 1955-, Crespo Vicente, Teresa, Travesa i Grau, Artur
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1999
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:2445/22742
Acceso en línea:https://hdl.handle.net/2445/22742
Access Level:acceso abierto
Palabra clave:Teoria de nombres
Varietats abelianes
Teoria de mòduls
Geometria algebraica
Number theory
Abelian varieties
Moduli theory
Algebraic geometry
Descripción
Sumario:Number theory, a fascinating area in mathematics and one of the oldest, has experienced spectacular progress in recent years. The development of a deep theoretical background and the implementation of algorithms have led to new and interesting interrelations with mathematics in general which have paved the way for the emergence of major theorems in the area. This report summarizes the contribution to number theory made by the members of the Seminari de Teoria de Nombres (UB-UAB-UPC) in Barcelona. These results are presented in connection with the state of certain arithmetical problems, and so this monograph seeks to provide readers with a glimpse of some specific lines of current mathematical research.