Ara es mostren els items 5-7 de 7

• Ribet Bimodules and the Specialization of Heegner points ﻿

(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 ﻿

(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 ﻿

(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 ...