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Heights

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Book cover Elliptic Curves

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 231))

Abstract

In 1922, Mordell proved a conjecture of Poincaré that the group of rational points on an elliptic curve is finitely generated. The reader can profitably look at the exposition in his book [Mo]. In 1929–1930, Weil extended this to abelian varieties [We 1].

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© 1978 Springer-Verlag Berlin Heidelberg

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Lang, S. (1978). Heights. In: Elliptic Curves. Grundlehren der mathematischen Wissenschaften, vol 231. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07010-9_4

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  • DOI: https://doi.org/10.1007/978-3-662-07010-9_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05717-5

  • Online ISBN: 978-3-662-07010-9

  • eBook Packages: Springer Book Archive

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