References
Deligne, P., Rapoport, M.: Schémas de modules de courbes elliptiques. Lecture Notes Math. 349. Berlin, Heidelberg, New York: Springer 1973
Grothendieck, A.: Eléments de géométrie algebrique. IV. Publ. Math. I.H.E.S.32 (1967)
Kamienny, S.: On the torsion subgroups of elliptic curves over totally real fields. Invent. Math.83, 545–551 (1986)
Kamienny, S.: Points of orderp on elliptic curves over\(Q(\sqrt p )\). Math. Ann.261, 413–424 (1982)
Kamienny, S.: Torsion points on elliptic curves over all quadratic fields. Duke Math. J.53, 157–162 (1986)
Kamienny, S.: Torsion points on elliptic curves over all quadratic fields. II. Bull. Soc. Math. France114, 119–122 (1986)
Kamienny, S.: Rational points on modular curves and Abelian varieties. J. Reine Angew. Math.359, 174–187 (1985)
Kubert, D., Lang, S.: Modular units. Berlin, Heidelberg, New York: Springer 1981
Mazur, B.: Modular curves and the Eisenstein ideal. Publ. Math. I.H.E.S.47 (1978)
Mazur, B.: Rational isogenies of prime degree. Invent. Math.44, 129–162 (1978)
Raynaud, M.: Schémas en groupes de type (p,...,p). Bull. Soc. Math. France102, 241–280 (1974)
Serre, J.P., Tate, J.: Good reduction of abelian varieties. Ann. Math.88, 492–517 (1968)
Shimura, G.: Introduction to the arithmetic theory of automorphic functions. Publ. Math. Soc. Japan 11. Tokyo, Princeton 1971
Author information
Authors and Affiliations
Rights 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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01456341