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

Kohen, Daniel; Pacetti, Ariel

doi:10.1090/tran/6990

On Heegner points for primes of additive reduction ramifying in the base field
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by Daniel Kohen and Ariel Pacetti; with an Appendix by Marc Masdeu PDF

Trans. Amer. Math. Soc. 370 (2018), 911-926 Request permission

Abstract:

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.

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