A p-adic construction of ATR points on Q-curves
Guitart, Xavier (Universität Duisburg-Essen. Institut für Experimentelle Mathematik)
Masdeu, Marc (University of Warwick. Mathematics Institute)

Date:	2015
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Algebraic points on elliptic curves ; ATR points ; Heegner points
Published in:	Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 511-545 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/295194
DOI: 10.5565/PUBLMAT_59215_09

35 p, 526.1 KB

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