• Ribet Bimodules and the Specialization of Heegner points 

    Molina Blanco, Santiago (2012)
    Article
    Accés obert
    For a given order R in an imaginary quadratic field K, we study the specialization of the set CM(R) of Heegner points on the Shimura curve X = X0(D,N) at primes p | DN. As we show, if p does not divide the conductor of R, ...
  • Square-free discriminants of Frobenius rings 

    David, Chantal; Jiménez Urroz, Jorge (2010-09)
    Article
    Accés obert
    Let E be an elliptic curve over Q. It is well known that the ring of endomorphisms of $E_p$, the reduction of E modulo a prime p of ordinary reduction, is an order of the quadratic imaginary field $Q(\pi_p)$ generated ...
  • The kernel of Ribet’s isogeny for genus three Shimura curves 

    Molina Blanco, Santiago; González Rovira, Josep (2015)
    Article
    Accés obert
    There are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves. Moreover, for each D we determine ...