English

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

Number Theory 2016-05-12 v2

Abstract

Let EE be a rational elliptic curve, and KK be an imaginary quadratic field. In this article we give a method to construct Heegner points when EE has a prime bigger than 33 of additive reduction ramifying in the field KK. The ideas apply to more general contexts, like constructing Darmon points attached to real quadratic fields which is presented in the appendix.

Keywords

Cite

@article{arxiv.1505.08059,
  title  = {On Heegner Points for primes of additive reduction ramifying in the base field},
  author = {Daniel Kohen and Ariel Pacetti},
  journal= {arXiv preprint arXiv:1505.08059},
  year   = {2016}
}

Comments

19 pages, 2 tables (final version)