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...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029947_v370_n2_p911_Kohen |
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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 |
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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 |