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https://hdl.handle.net/2445/96600| Title: | On fields of definition of torsion points of elliptic curves with complex multiplication |
| Author: | Dieulefait, L. V. (Luis Victor) Gonzalez-Jimenez, Enrique Jimenez Urroz, Jorge |
| Keywords: | Corbes el·líptiques Teoria de Galois Geometria algebraica aritmètica Grups discontinus Elliptic curves Galois theory Arithmetical algebraic geometry Discontinuous groups |
| Issue Date: | Jun-2011 |
| Publisher: | American Mathematical Society (AMS) |
| Abstract: | For any elliptic curve $E$ defined over the rationals with complex multiplication (CM) and for every prime $p$, we describe the image of the mod $ p$ Galois representation attached to $E$. We deduce information about the field of definition of torsion points of these curves; in particular, we classify all cases where there are torsion points over Galois number fields not containing the field of definition of the CM. |
| Note: | Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9939-2010-10621-4 |
| It is part of: | Proceedings of the American Mathematical Society, 2011, vol. 139, num. 6, p. 1961-1969 |
| URI: | https://hdl.handle.net/2445/96600 |
| Related resource: | http://dx.doi.org/10.1090/S0002-9939-2010-10621-4 |
| ISSN: | 0002-9939 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 587287.pdf | 445.59 kB | Adobe PDF | View/Open |
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