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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Format: | Doctoral Thesis |
Language: | Catalan |
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Universitat Politècnica de Catalunya
2014
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Online Access: | http://hdl.handle.net/10803/284400 |