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Pàgina inicial > Articles > Articles publicats > A p-adic construction of ATR points on Q-curves |
Data: | 2015 |
Resum: | 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 defined over almost totally real number fields. The main ingredient is the system of Heegner points arising from Shimura curve uniformizations. In addition, we provide an explicit p-adic analytic formula which allows for the effective, algorithmic calculation of such points. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió publicada |
Matèria: | Algebraic points on elliptic curves ; ATR points ; Heegner points |
Publicat a: | Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 511-545 (Articles) , ISSN 2014-4350 |
35 p, 526.1 KB |