@article{126968d989bb44a4adad34fc4675210c,
title = "On heegner points for primes of additive reduction ramifying in the base field",
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.",
keywords = "Heegner points",
author = "Daniel Kohen and Ariel Pacetti and Marc Masdeu",
note = "Funding Information: Received by the editors February 1, 2016 and, in revised form, May 11, 2016. 2010 Mathematics Subject Classification. Primary 11G05; Secondary 11G40. Key words and phrases. Heegner points. The first author was partially supported by a CONICET doctoral fellowship. The second author was partially supported by CONICET PIP 2010-2012 11220090100801, ANPCyT PICT-2013-0294 and UBACyT 2014-2017-20020130100143BA. The author of the appendix was supported by EU H2020-MSCA-IF-655662. Publisher Copyright: {\textcopyright} 2017 American Mathematical Society.",
year = "2018",
month = feb,
doi = "10.1090/tran/6990",
language = "English",
volume = "370",
pages = "911--926",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "2",
}