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math.NT2014★ 18 cited
Darmon points on elliptic curves over number fields of arbitrary signature
Xavier Guitart, Marc Masdeu, Mehmet Haluk Sengun
We present new constructions of complex and p-adic Darmon points on elliptic curves over base fields of arbitrary signature. We conjecture that these points are global and present…
math.NT2014
A -adic construction of ATR points on -curves
Xavier Guitart, Marc Masdeu
In this note we consider certain elliptic curves defined over real quadratic fields isogenous to their Galois conjugate. We give a construction of algebraic points on these curves…