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The Finiteness Theorems of Faltings

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Rational Points

Abstract

In this chapter we shall state the finiteness theorems of Faltings and give very detailed proofs of these results. In the second section we shall beginn with the finiteness theorem for isogeny classes of abelian varieties with good reduction outside a given set of primes. Here we use in an essential way the Tate conjecture which is proved in much detail in [Sch].

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References

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Authors
  1. G. Wüstholz
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© 1984 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Wüstholz, G. (1984). The Finiteness Theorems of Faltings. In: Rational Points. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-83918-3_5

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  • DOI: https://doi.org/10.1007/978-3-322-83918-3_5

  • Publisher Name: Vieweg+Teubner Verlag

  • Print ISBN: 978-3-528-08593-3

  • Online ISBN: 978-3-322-83918-3

  • eBook Packages: Springer Book Archive

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