18 citations · 60 across the 23 of their papers we have counts for
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math.NT2012
Elementary Matrix Decomposition and The Computation of Darmon Points with Higher Conductor
Xavier Guitart, Marc Masdeu
We extend the algorithm of Darmon-Green and Darmon-Pollack for computing p-adic Darmon points on elliptic curves to the case of composite conductor. We also extend the algorithm of…
math.NT2012★ 1 cited
Almost totally complex points on elliptic curves
Xavier Guitart, Victor Rotger, Yu Zhao
Let be a quadratic extension of totally real number fields, and let be an elliptic curve over which is isogenous to its Galois conjugate over . A quadratic ext…
math.NT2012★ 3 cited
Computation of ATR Darmon points on non-geometrically modular elliptic curves
Xavier Guitart, Marc Masdeu
ATR points were introduced by Darmon as a conjectural construction of algebraic points on certain elliptic curves for which in general the Heegner point method is not available. So…