Mordell-Weil rank of the jacobians of the curves defined by $y^p = f(x)$

• Autorzy: Naoki Murabayashi
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 64
• Numer: 4
• Strony: 297-302

Daty

wydano

1993

otrzymano

1992-07-28

poprawiono

1993-01-21

Twórcy

autor

Naoki Murabayashi

• Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1, Okubo Shinjuku-ku, Tokyo, 169 Japan

Bibliografia

• [1] Yu. I. Manin, Cyclotomic fields and modular curves, Russian Math. Surveys 26 (6) (1971), 7-78.
• [2] B. Mazur, Rational points of abelian varieties with values in towers of number fields, Invent. Math. 18 (1972), 183-266.
• [3] H. P. F. Swinnerton-Dyer, The conjectures of Birch and Swinnerton-Dyer, and of Tate, in: Proceedings of a conference on local fields (Driebergen, 1966), Springer, 1967, 132-157.
• [4] J. Top, A remark on the rank of jacobians of hyperelliptic curves over ℚ over certain elementary abelian 2-extensions, Tôhoku Math. J. 40 (1988), 613-616.
• [5] A. Weil, Jacobi sums as Grössencharaktere, Trans. Amer. Math. Soc. 73 (1952), 487-495.