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On Heegner Points for primes of additive reduction ramifying in the base field
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Kohen, Daniel, Pacetti, Ariel and Masdeu, Marc (2018) On Heegner Points for primes of additive reduction ramifying in the base field. Transactions of the American Mathematical Society, 370 . pp. 911-926. doi:10.1090/tran/6990 ISSN 1088-6850.
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Official URL: https://doi.org/10.1090/tran/6990
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.
Item Type: | Journal Article | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
Library of Congress Subject Headings (LCSH): | Curves, Elliptic, Homology theory, Algebraic fields | ||||||||
Journal or Publication Title: | Transactions of the American Mathematical Society | ||||||||
Publisher: | American Mathematical Society | ||||||||
ISSN: | 1088-6850 | ||||||||
Official Date: | 2018 | ||||||||
Dates: |
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Volume: | 370 | ||||||||
Page Range: | pp. 911-926 | ||||||||
DOI: | 10.1090/tran/6990 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||||
Date of first compliant deposit: | 13 July 2016 | ||||||||
Date of first compliant Open Access: | 3 May 2017 | ||||||||
Funder: | National Scientific and Technical Research Council (CONICET) | ||||||||
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