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Tate’s Conjecture on the Endomorphisms of Abelian Varieties

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Rational Points

Part of the book series: Aspects of Mathematics ((ASMA,volume 6))

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Abstract

Following Faltings and using older arguments due to Tate and Zarhin, we shall deduce, from the diophantine result [F2], II 4.3, Tate’s conjectural description of the endomorphisms of abelian varieties over number fields, in terms of ℓ-adic representations.

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Authors
  1. Norbert Schappacher
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© 1986 Springer Fachmedien Wiesbaden

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Schappacher, N. (1986). Tate’s Conjecture on the Endomorphisms of Abelian Varieties. In: Rational Points. Aspects of Mathematics, vol 6. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-06812-9_4

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  • DOI: https://doi.org/10.1007/978-3-663-06812-9_4

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-18593-0

  • Online ISBN: 978-3-663-06812-9

  • eBook Packages: Springer Book Archive

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