On heegner points for primes of additive reduction ramifying in the base field

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 attach...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Kohen, D., Pacetti, A., Masdeu, M.
Formato: JOUR
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00029947_v370_n2_p911_Kohen
Aporte de:
id todo:paper_00029947_v370_n2_p911_Kohen
record_format dspace
spelling todo:paper_00029947_v370_n2_p911_Kohen2023-10-03T13:55:23Z On heegner points for primes of additive reduction ramifying in the base field Kohen, D. Pacetti, A. Masdeu, M. Heegner points 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. © 2017 American Mathematical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029947_v370_n2_p911_Kohen
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Heegner points
spellingShingle Heegner points
Kohen, D.
Pacetti, A.
Masdeu, M.
On heegner points for primes of additive reduction ramifying in the base field
topic_facet Heegner points
description 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. © 2017 American Mathematical Society.
format JOUR
author Kohen, D.
Pacetti, A.
Masdeu, M.
author_facet Kohen, D.
Pacetti, A.
Masdeu, M.
author_sort Kohen, D.
title On heegner points for primes of additive reduction ramifying in the base field
title_short On heegner points for primes of additive reduction ramifying in the base field
title_full On heegner points for primes of additive reduction ramifying in the base field
title_fullStr On heegner points for primes of additive reduction ramifying in the base field
title_full_unstemmed On heegner points for primes of additive reduction ramifying in the base field
title_sort on heegner points for primes of additive reduction ramifying in the base field
url http://hdl.handle.net/20.500.12110/paper_00029947_v370_n2_p911_Kohen
work_keys_str_mv AT kohend onheegnerpointsforprimesofadditivereductionramifyinginthebasefield
AT pacettia onheegnerpointsforprimesofadditivereductionramifyinginthebasefield
AT masdeum onheegnerpointsforprimesofadditivereductionramifyinginthebasefield
_version_ 1807315313789763584