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1.

図書

図書
J.W.S. Cassels
出版情報: London ; New York : Academic Press, 1978  xvi, 413 p. ; 24 cm
シリーズ名: L.M.S. monographs ; 13
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2.

図書

図書
J.W.S. Cassels
出版情報: Berlin : Springer, c1997  vii, 344 p. ; 24 cm
シリーズ名: Classics in mathematics
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3.

図書

図書
J.W.S. Cassels, E.V. Flynn
出版情報: Cambridge ; New York : Cambridge University Press, 1996  xiv, 218 p. ; 23 cm
シリーズ名: London Mathematical Society lecture note series ; 230
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4.

図書

図書
J.W.S. Cassels
出版情報: Berlin : Springer, 1971  vii, 344 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 99
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5.

図書

図書
by J.W.S. Cassels
出版情報: New York : Hafner Pub. Co., 1972  x, 168 p. ; 22 cm
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6.

図書

図書
by J.W.S. Cassels
出版情報: Berlin : Springer, 1959  vii, 344 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 99
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7.

図書

図書
J.W.S. Cassels
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1991  vi, 137 p. ; 24 cm
シリーズ名: London Mathematical Society student texts ; 24
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目次情報: 続きを見る
Introduction / 0:
Curves of genus 0. Introduction / 1:
p-adic numbers / 2:
The local-global principle for conics / 3:
Geometry of numbers / 4:
Local-global principle. Conclusion of proof / 5:
Cubic curves / 6:
Non-singular cubics. The group law / 7:
Elliptic curves. Canonical form / 8:
Degenerate laws / 9:
Reduction / 10:
The p-adic case / 11:
Global torsion / 12:
Finite basis theorem. Strategy and comments / 13:
A 2-isogeny / 14:
The weak finite basis theory / 15:
Remedial mathematics. Resultants / 16:
Heights. Finite basis Theorem / 17:
Local-global for genus 1 / 18:
Elements of Galois cohomology / 19:
Construction of the jacobian / 20:
Some abstract nonsense / 21:
Principal homogeneous spaces and Galois cohomology / 22:
The Tate-Shafarevich group / 23:
The endomorphism group / 24:
Points over finite fields / 25:
Factorizing using elliptic curves / 26:
Formulary
Further Reading
Index
Curves of genus: introduction
Local-global principle: conclusion of proof
Non-singular cubics: the group law
Elliptic curves: canonical form
Finite basis theorem: strategy and comments
The weak finite basis theorem
Remedial mathematics: resultants
Heights: finite basis theorem
Local-global for genus principle
Principle homogeneous spaces and Galois cohomology
The endomorphism ring
Further reading
Introduction / 0:
Curves of genus 0. Introduction / 1:
p-adic numbers / 2:
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