The non-existence of elliptic curves with everywhere good reduction over certain imaginary quadratic fields
ジャーナル
フリー
1979 年 31 巻 2 号 p. 273-279
詳細
- Published: 1979 Received: 1977/08/02 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
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訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報 訂正内容: Wrong : 1) P. Deligne, (with J.F. Boutot, A. Grothendieck, L. Illusie and J.L. Verdier), Cohomologie Etale (SGA 4(1/2)), Lecture Notes in Math., no. 569, Springer, Berlin-Heidelberg-New York, 1977.
2) M. Demazure and A. Grothendidck, Schémas en groupes I (SGA 3), Lecture Notes in Math., no. 151, Springer, Berlin-Heidelberg-New York, 1970.
3) A. Grothendieck, Le groupe de Brauer II, III, Séminaire Bourbaki, 1965, no. 297, and I.H.E.S., 1966.
4) A. Grothendieck (with J. Dieudonné), Eléments de géométrie algébrique, Publ. Math. I.H.E.S., 1961-68.
5) K. Iwasawa, A note on class numbers of algebraic number fields, Abh. Math, Sem. Univ. Hamburg, 20 (1956), 257-258.
6) B. Mazur, Rational points on abelian varieties with values in towers of number fields, Invent. Math., 18 (1972), 183-266.
7) F. Oort, Commutative group schemes, Lecture Notes in Math., no. 15, Springer, Berlin-Heidelberg-New York, 1966.
8) F. Oort and J. Tate, Group schemes of prime order, Ann. Sci. École Norm. Sup., Series 4,3 (1970), 1-21.
9) M. Raynaud, Schémas en groupes de type (p,...,p), Bull. Soc. Math. France, 102 (1974), 241-280.
10) J-P. Serre, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 (1972), 259-331.
11) G. Shimura and Y. Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan, no. 6, Tokyo, 1961.
12) I. Tate, p-divisible groups, Proceedings of a Conference on Local Fields, NUFFIC Summer School held at Driebergen, (1966), 158-183, Springer, Berlin-Heidelberg-New York, 1967.
Right : [1] P. Deligne, (with J. F. Boutot, A. Grothendieck, L. Illusie and J. L. Verdier), Cohomologie Etale (SGA 4(1/2)), Lecture Notes in Math., no. 569, Springer, Berlin-Heidelberg-New York, 1977.
[2] M. Demazure and A. Grothendidck, Schémas en groupes I (SGA 3), Lecture Notes in Math., no. 151, Springer, Berlin-Heidelberg-New York, 1970.
[3] A. Grothendieck, Le groupe de Brauer II, III, Séminaire Bourbaki, 1965, no. 297, and I. H. E. S., 1966.
[4] A. Grothendieck (with J. Dieudonné), Eléments de géométrie algébrique, Publ. Math. I. H. E. S., 1961-68.
[5] K. Iwasawa, A note on class numbers of algebraic number fields, Abh. Math, Sem. Univ. Hamburg, 20 (1956), 257-258.
[6] B. Mazur, Rational points on abelian varieties with values in towers of number fields, Invent. Math., 18 (1972), 183-266.
[7] F. Oort, Commutative group schemes, Lecture Notes in Math., no. 15, Springer, Berlin-Heidelberg-New York, 1966.
[8] F. Oort and J. Tate, Group schemes of prime order, Ann. Sci. École Norm. Sup., Series 4,3 (1970), 1-21.
[9] M. Raynaud, Schémas en groupes de type (p,…,p), Bull. Soc. Math. France, 102 (1974), 241-280.
[10] J-P. Serre, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 (1972), 259-331.
[11] G. Shimura and Y. Taniyama, Complex multiplication of abelian varieties and its applications to number theory, Publ. Math. Soc. Japan, no. 6, Tokyo, 1961.
[12] I. Tate, p-divisible groups, Proceedings of a Conference on Local Fields, NUFFIC Summer School held at Driebergen, (1966), 158-183, Springer, Berlin-Heidelberg-New York, 1967.
訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル 訂正内容: -
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