Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-03T08:30:19.720Z Has data issue: false hasContentIssue false
  • English
  • Français

Sur la p-différente du corps des points de p-torsion des courbes elliptiques

Published online by Cambridge University Press:  17 April 2009

Alain Kraus
Alain Kraus
Affiliation:
Université de Paris VIInstitut de MathématiquesCase 2474 place Jussieu 75252Paris Cedex 05France e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let p be a prime number, K be a finite non-ramified extension of ℚp and E be an elliptic curve defined over K. Let K(Ep) be the field of the p-division points of E. In this paper we determine the valuation of the different of the extension K(Ep)/K.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 3 , December 1999 , pp. 407 - 428
Copyright
Copyright © Australian Mathematical Society 1999

References

Bibliographie

[1]Kraus, A., ‘Sur le défaut de semi-stabilité des courbe elliptiques à réduction additive’, Manuscripta Math. 69 (1990), 353–385.CrossRefGoogle Scholar
[2]Kraus, A., ‘Détermination du poids et du conducteur associés aux représentations des points de p-torsion d'une courbe elliptique’, Dissertationes Math. 364 (1997).Google Scholar
[3]Serre, J.-P., Groupes p-divisibles (d'après J. Tate), (Sém. Bourbaki 318, 1966/1967).Google Scholar
[4]Serre, J.-P., ‘Propriétés galoisiennes des points d'ordre fini des courbes elliptiques’, Invent. Math. 15 (1972), 259–331.Google Scholar
[5]Serre, J.-P., Corps locaux, 3-ième édition (Hermann, Paris, 1980).Google Scholar
[6]Silverman, J., The arithmetic of elliptic curves, Graduate Texts in Maths. 106 (Springer Verlag, Berlin, Heidelberg, New York, 1986).CrossRefGoogle Scholar
[7]Tate, J., ‘The arithmetic of elliptic curves’, Invent. Math. 23 (1974), 179–206.Google Scholar
[8]Tate, J., ‘Algorithm for determining the type of a singular fiber in an elliptic pencil’, in Modular Functions of One Variable IV, Lecture Notes in Math. 476 (Springer-Verlag, Berlin, Heidelberg, New York, 1975), pp. 33–52.CrossRefGoogle Scholar