Mordell-Weil rank of the jacobians of the curves defined by
Acta Arithmetica (1993)
- Volume: 64, Issue: 4, page 297-302
- ISSN: 0065-1036
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topNaoki Murabayashi. "Mordell-Weil rank of the jacobians of the curves defined by $y^p = f(x)$." Acta Arithmetica 64.4 (1993): 297-302. <http://eudml.org/doc/206552>.
@article{NaokiMurabayashi1993,
author = {Naoki Murabayashi},
journal = {Acta Arithmetica},
keywords = {Mordell-Weil rank of the jacobians; superelliptic curves; Mordell-Weil group},
language = {eng},
number = {4},
pages = {297-302},
title = {Mordell-Weil rank of the jacobians of the curves defined by $y^p = f(x)$},
url = {http://eudml.org/doc/206552},
volume = {64},
year = {1993},
}
TY - JOUR
AU - Naoki Murabayashi
TI - Mordell-Weil rank of the jacobians of the curves defined by $y^p = f(x)$
JO - Acta Arithmetica
PY - 1993
VL - 64
IS - 4
SP - 297
EP - 302
LA - eng
KW - Mordell-Weil rank of the jacobians; superelliptic curves; Mordell-Weil group
UR - http://eudml.org/doc/206552
ER -
References
top- [1] Yu. I. Manin, Cyclotomic fields and modular curves, Russian Math. Surveys 26 (6) (1971), 7-78. Zbl0266.14012
- [2] B. Mazur, Rational points of abelian varieties with values in towers of number fields, Invent. Math. 18 (1972), 183-266. Zbl0245.14015
- [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. Zbl0688.14027
- [5] A. Weil, Jacobi sums as Grössencharaktere, Trans. Amer. Math. Soc. 73 (1952), 487-495. Zbl0048.27001
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