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arXiv · 1505.08059

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

Daniel Kohen·Ariel Pacetti
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Abstract

Let $E$ be a rational elliptic curve, and $K$ 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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Daniel Kohen, Ariel Pacetti. 2015-05-29. On Heegner Points for primes of additive reduction ramifying in the base field. https://arxiv.org/abs/1505.08059

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