Xavier Guitart

most citedComputation of ATR Darmon points on non-geometrically modular elliptic curves

3 citations · 4 across the 2 of their papers we have counts for

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math.NT2012★ 1 cited

Almost totally complex points on elliptic curves

Xavier Guitart, Victor Rotger, Yu Zhao

Let $F / F_{0}$ be a quadratic extension of totally real number fields, and let $E$ be an elliptic curve over $F$ which is isogenous to its Galois conjugate over $F_{0}$ . 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…