Rationality of Darmon points over genus fields of non-maximal orders

Author:

Longo MatteoORCID,Martin Kimball,Hu Yan

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference34 articles.

1. Bertolini, M., Darmon, H.: Hida families and rational points on elliptic curves. Invent. Math. 168(2), 371–431 (2007)

2. Bertolini, M., Darmon, H.: The rationality of Stark-Heegner points over genus fields of real quadratic fields. Ann. Math. 170(1), 343–370 (2009)

3. Bertolini, M., Seveso, M. A., Venerucci, R.: Reciprocity laws for diagonal classes and rational points on elliptic curves, preprint (2017)

4. Cohn, H.: A classical invitation to algebraic numbers and class fields, Springer-Verlag, New York-Heidelberg, (1978), With two appendices by Olga Taussky: “Artin’s 1932 Göttingen lectures on class field theory” and “Connections between algebraic number theory and integral matrices”, Universitext

5. Darmon, H.: Integration on $$\mathscr {H}_p\times \mathscr {H}$$ and arithmetic applications. Ann. Math. (2) 154(3), 589–639 (2001)

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