Skip to main content
Log in

p-torsion in elliptic curves over subfields of Q(μ p )

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Deligne, P., Rapoport, M.: Schémas de modules de courbes elliptiques. Lecture Notes Math. 349. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  2. Grothendieck, A.: Eléments de géométrie algebrique. IV. Publ. Math. I.H.E.S.32 (1967)

  3. Kamienny, S.: On the torsion subgroups of elliptic curves over totally real fields. Invent. Math.83, 545–551 (1986)

    Google Scholar 

  4. Kamienny, S.: Points of orderp on elliptic curves over\(Q(\sqrt p )\). Math. Ann.261, 413–424 (1982)

    Google Scholar 

  5. Kamienny, S.: Torsion points on elliptic curves over all quadratic fields. Duke Math. J.53, 157–162 (1986)

    Google Scholar 

  6. Kamienny, S.: Torsion points on elliptic curves over all quadratic fields. II. Bull. Soc. Math. France114, 119–122 (1986)

    Google Scholar 

  7. Kamienny, S.: Rational points on modular curves and Abelian varieties. J. Reine Angew. Math.359, 174–187 (1985)

    Google Scholar 

  8. Kubert, D., Lang, S.: Modular units. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  9. Mazur, B.: Modular curves and the Eisenstein ideal. Publ. Math. I.H.E.S.47 (1978)

  10. Mazur, B.: Rational isogenies of prime degree. Invent. Math.44, 129–162 (1978)

    Google Scholar 

  11. Raynaud, M.: Schémas en groupes de type (p,...,p). Bull. Soc. Math. France102, 241–280 (1974)

    Google Scholar 

  12. Serre, J.P., Tate, J.: Good reduction of abelian varieties. Ann. Math.88, 492–517 (1968)

    Google Scholar 

  13. Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan 11. Tokyo, Princeton 1971

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kamienny, S. p-torsion in elliptic curves over subfields of Q(μ p ). Math. Ann. 280, 513–519 (1988). https://doi.org/10.1007/BF01456341

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456341

Keywords

Navigation