Local points on Shimura coverings of Shimura curves at bad reduction primes

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Título:	Local points on Shimura coverings of Shimura curves at bad reduction primes
Autor/a:	Vera Piquero, Carlos de
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtiques
Abstract:	Let XD be the Shimura curve associated with an indefinite rational quaternion algebra of reduced discriminant D>1. For each prime l\|D, there is a natural cyclic Galois covering of Shimura curves XD,l → XD constructed by adding certain level structure at l. The main goal of this note is to study the existence of local points at primes p≠l of bad reduction on the intermediate curves of these coverings and their Atkin–Lehner quotients.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria -Curves, Modular -Manifolds (Mathematics) -Arithmetical algebraic geometry -Shimura curves -Atkin–Lehner quotients -Coverings -Local points -Corbes modulars -Varietats de Shimura -Varietats (Matemàtica) -Geometria algebraica aritmètica
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión presentada Artículo
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