# The field of definition of the Mordell-Weil group of an elliptic curve over a function field

Compositio Mathematica (1990)

- Volume: 76, Issue: 3, page 399-406
- ISSN: 0010-437X

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top## How to cite

topKuwata, Masato. "The field of definition of the Mordell-Weil group of an elliptic curve over a function field." Compositio Mathematica 76.3 (1990): 399-406. <http://eudml.org/doc/90063>.

@article{Kuwata1990,

author = {Kuwata, Masato},

journal = {Compositio Mathematica},

keywords = {field of definition of the Mordell-Weil group; elliptic curve; Mordell- Weil theorem; rational points; jacobian; Galois action},

language = {eng},

number = {3},

pages = {399-406},

publisher = {Kluwer Academic Publishers},

title = {The field of definition of the Mordell-Weil group of an elliptic curve over a function field},

url = {http://eudml.org/doc/90063},

volume = {76},

year = {1990},

}

TY - JOUR

AU - Kuwata, Masato

TI - The field of definition of the Mordell-Weil group of an elliptic curve over a function field

JO - Compositio Mathematica

PY - 1990

PB - Kluwer Academic Publishers

VL - 76

IS - 3

SP - 399

EP - 406

LA - eng

KW - field of definition of the Mordell-Weil group; elliptic curve; Mordell- Weil theorem; rational points; jacobian; Galois action

UR - http://eudml.org/doc/90063

ER -

## References

top- [C] M.R. Christie, Positive definite rational functions of two variables which are not the sum of three squares, Journal of Number Theory, 8 (1976), 224-232. Zbl0331.14017MR412162
- [K] Masato Kuwata, The Canonical Height and Elliptic Surfaces, (to appear from Journal of Number Theory). Zbl0741.14008MR1072465
- [Sil] J.H. Silverman, The Arithmetic of Elliptic Curves, Springer-Verlag, 1986. Zbl0585.14026MR817210
- [S-D] H.P.F. Swinnerton-Dyer, The field of definition of the Néron-Severi group, Studies in Pure Mathematics, 719-731. Zbl0575.14018MR820265

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