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Abstract:

Let E/ℚ be an elliptic curve of conductor N, and let K be an imaginary quadratic field such that the root number of E/K is -1. Let O be an order in K and assume that there exists an odd prime p such that p2 ∥ N, and p is inert in O. Although there are no Heegner points on X0(N) attached to O, in this article we construct such points on Cartan non-split curves. In order to do that, we give a method to compute Fourier expansions for forms on Cartan non-split curves, and prove that the constructed points form a Heegner system as in the classical case. © Canadian Mathematical Society 2016.

Registro:

Documento: Artículo
Título:Heegner points on Cartan non-split curves
Autor:Kohen, D.; Pacetti, A.
Filiación:IMAS-CONICET, Buenos Aires, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, IMAS, CONICET, Argentina
Palabras clave:Cartan curves; Heegner points
Año:2016
Volumen:68
Número:2
Página de inicio:422
Página de fin:444
DOI: http://dx.doi.org/10.4153/CJM-2015-047-6
Título revista:Canadian Journal of Mathematics
Título revista abreviado:Can. J. Math.
ISSN:0008414X
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0008414X_v68_n2_p422_Kohen

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Citas:

---------- APA ----------
Kohen, D. & Pacetti, A. (2016) . Heegner points on Cartan non-split curves. Canadian Journal of Mathematics, 68(2), 422-444.
http://dx.doi.org/10.4153/CJM-2015-047-6
---------- CHICAGO ----------
Kohen, D., Pacetti, A. "Heegner points on Cartan non-split curves" . Canadian Journal of Mathematics 68, no. 2 (2016) : 422-444.
http://dx.doi.org/10.4153/CJM-2015-047-6
---------- MLA ----------
Kohen, D., Pacetti, A. "Heegner points on Cartan non-split curves" . Canadian Journal of Mathematics, vol. 68, no. 2, 2016, pp. 422-444.
http://dx.doi.org/10.4153/CJM-2015-047-6
---------- VANCOUVER ----------
Kohen, D., Pacetti, A. Heegner points on Cartan non-split curves. Can. J. Math. 2016;68(2):422-444.
http://dx.doi.org/10.4153/CJM-2015-047-6