Galois descent and twists of an abelian variety
Masanari Kida
Acta Arithmetica, Tome 69 (1995), p. 51-57 / Harvested from The Polish Digital Mathematics Library
Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:206809
@article{bwmeta1.element.bwnjournal-article-aav73i1p51bwm,
     author = {Masanari Kida},
     title = {Galois descent and twists of an abelian variety},
     journal = {Acta Arithmetica},
     volume = {69},
     year = {1995},
     pages = {51-57},
     zbl = {0858.11031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav73i1p51bwm}
}
Masanari Kida. Galois descent and twists of an abelian variety. Acta Arithmetica, Tome 69 (1995) pp. 51-57. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav73i1p51bwm/

[000] [1] G. Faltings, Finiteness theorems for abelian varieties over number fields, in: Arithmetic Geometry, G. Cornell and J. H. Silverman (eds.), Springer, 1986, 9-27. | Zbl 0602.14044

[001] [2] T. Honda, Isogenies, rational points and section points of group varieties, Japan. J. Math. 30 (1960), 84-101. | Zbl 0109.39602

[002] [3] M. Kida, On the rank of an elliptic curve in elementary 2-extensions, Proc. Japan Acad. 69 (1993), 422-425. | Zbl 0824.14027

[003] [4] J. S. Milne, On the arithmetic of abelian varieties, Invent. Math. 17 (1972), 177-190. | Zbl 0249.14012

[004] [5] J. S. Milne, Abelian varieties, in: Arithmetic Geometry, G. Cornell and J. H. Silverman (eds.), Springer, 1986, 103-150. | Zbl 0604.14028

[005] [6] J. Neukirch, Class Field Theory, Springer, 1986. | Zbl 0587.12001

[006] [7] T. Ono, On the relative Mordell-Weil rank of elliptic quartic curves, J. Math. Soc. Japan 32 (1980), 665-670. | Zbl 0456.14013

[007] [8] I. Satake, Classification Theory of Semi-simple Algebraic Groups, Marcel Dekker, New York, 1971. | Zbl 0226.20037

[008] [9] A. Sato, The behavior of Mordell-Weil groups under field extensions, preprint.

[009] [10] J.-P. Serre, Représentations linéaires des groupes finis, deuxième éd., Hermann, Paris, 1971.

[010] [11] A. Weil, Adeles and Algebraic Groups, Birkhäuser, 1982 | Zbl 0118.15801