Browsing by Author "Molina Blanco, Santiago"

Anticyclotomic padic Lfunctions and the exceptional zero phenomenon
Molina Blanco, Santiago (20190815)
Article
Open AccessLet A be a modular elliptic curve over a totally real field F, and let E/F be a totally imaginary quadratic extension. In the event of exceptional zero phenomenon, we prove a formula for the derivative of the multivariable ... 
Automorphisms and reduction of Heegner points on Shimura curves at CerednikDrinfeld primes
Molina Blanco, Santiago; Rotger Cerdà, Víctor (2014)
Article
Open AccessThe aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its CerednikDrinfeld’s integral model at a prime of bad reduction and its sets ... 
Equations of hyperelliptic Shimura curves
Molina Blanco, Santiago (2012)
Article
Open AccessWe describe a method for computing equations of hyperelliptic Shimura curves attached to indefinite quaternion algebras over Q and Atkin–Lehner quotients of them. It exploits Cerednik–Drinfeld 's nonarchimedean uniformization ... 
Parametrization of Abelian Ksurfaces with quaternionic multiplication
Guitart Morales, Xavier; Molina Blanco, Santiago (Elsevier, 200912)
Article
Restricted access  publisher's policyWe prove that the Abelian Ksurfaces whose endomorphism algebra is a rational quaternion algebra are parametrized, up to isogeny, by the Krational points of the quotient of certain Shimura curves by the group of their ... 
Ribet Bimodules and the Specialization of Heegner points
Molina Blanco, Santiago (2012)
Article
Open AccessFor 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, ... 
The kernel of Ribet’s isogeny for genus three Shimura curves
Molina Blanco, Santiago; González Rovira, Josep (2015)
Article
Open AccessThere 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 ...