• Rational points on Shimura curves and Galois representations 

      Vera Piquero, Carlos de (Universitat Politècnica de Catalunya, 2014-11-07)
      Tesi
      Accés obert
      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 ...
    • The Shimura covering of a Shimura curve: automorphisms and étale subcoverings 

      Vera Piquero, Carlos de (2013-10)
      Article
      Accés restringit per política de l'editorial
      Let XDXD be the Shimura curve associated with an indefinite rational quaternion algebra of discriminant D, and let p be a prime dividing D. In their investigations on the arithmetic of XD, Jordan and Skorobogatov introduced ...