Rational points on Shimura curves and Galois representations

This thesis explores one of the essential arithmetical and diophantine properties of Shimura curves and their Atkin-Lehner quotients: the existence of rational points on these families of curves over both number fields and their completions. Due to their moduli interpretation, Shimura curves (and mo...

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Bibliographic Details
Main Author: Vera Piquero, Carlos de
Other Authors: Rotger, Víctor
Format: Doctoral Thesis
Language:Catalan
Published: Universitat Politècnica de Catalunya 2014
Subjects:
Online Access:http://hdl.handle.net/10803/284400

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