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

2015/05/29 by Daniel Kohen, Kohen, Daniel, Ariel Pacetti +2
Arts and Humanities · Mathematics · Social Sciences · #11F30 (Secondary) #11G05 (Primary) #Algebraic Geometry and Number Theory #FOS: Mathematics #Historical Studies and Socio-cultural Analysis #Number Theory (math.NT) #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.1505.08059

openalex publication_date 2015/05/29 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

Let E be a rational elliptic curve, and K be an imaginary quadratic\nfield. In this article we give a method to construct Heegner points when E\nhas a prime bigger than 3 of additive reduction ramifying in the field K.\nThe ideas apply to more general contexts, like constructing Darmon points\nattached to real quadratic fields which is presented in the appendix.\n

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