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

Masato Kuwata

Compositio Mathematica (1990)

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

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Kuwata, 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

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  1. [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
  2. [K] Masato Kuwata, The Canonical Height and Elliptic Surfaces, (to appear from Journal of Number Theory). Zbl0741.14008MR1072465
  3. [Sil] J.H. Silverman, The Arithmetic of Elliptic Curves, Springer-Verlag, 1986. Zbl0585.14026MR817210
  4. [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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