Título inglés | Volcanoes of l-isogenies of elliptic curves over finite fields: The case l=3. |
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Título español | Volcanes de l-isogenias de curvas elípticas sobre campos finitos: el caso l=3. |
Autor/es | Miret Biosca, Josep M. ; Sadornil Renedo, Daniel ; Tena Ayuso, Juan ; Tomàs, Rosana ; Valls Marsal, Magda |
Organización | Dep. Mat. Univ. Lleida, Lleida, España;Dep. Mat. Univ. Salamanca, Salamanca, España;Dep. Álg. Geom. Topol. Univ. Valladolid, Valladolid, España |
Revista | 0214-1493 |
Publicación | 2007, Extra: 165-180, 17 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | This paper is devoted to the study of the volcanoes of ℓ-isogenies of elliptic curves over a finite field, focusing on their height as well as on the location of curves across its different levels. The core of the paper lies on the relationship between the ℓ-Sylow subgroup of an elliptic curve and the level of the volcano where it is placed. The particular case ℓ = 3 is studied in detail, giving an algorithm to determine the volcano of 3-isogenies of a given elliptic curve. Experimental results are aIso provided. [Proceedings of the Primeras Jornadas de Teoría de Números (Vilanova i la Geltrú (Barcelona), 30 June - 2 July 2005)]. |
Clasificación UNESCO | 120101 ; 120501 |
Palabras clave español | Teoría de números ; Curvas elípticas ; Campos finitos ; Geometría diofántica |
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