On heegner points for primes of additive reduction ramifying in the base field

Let E be a rational elliptic curve and let K be an imaginary quadratic field. In this article we give a method to construct Heegner points when E has a prime bigger than 3 of additive reduction ramifying in the field K. The ideas apply to more general contexts, like constructing Darmon points attach...

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Autores principales: Kohen, D., Pacetti, A., Masdeu, M.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029947_v370_n2_p911_Kohen
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Sumario:Let E be a rational elliptic curve and let K be an imaginary quadratic field. In this article we give a method to construct Heegner points when E has a prime bigger than 3 of additive reduction ramifying in the field K. The ideas apply to more general contexts, like constructing Darmon points attached to real quadratic fields, which is presented in the appendix. © 2017 American Mathematical Society.