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Familles de courbes hyperelliptiques à multiplications réelles

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Arithmetic Algebraic Geometry

Part of the book series: Progress in Mathematics ((PM,volume 89))

Abstract

Pour tout entier n, notons G n le polynôme

$$ {G_n}(T) = \prod\limits_{{k = 1}}^{{n/2}} {T - 2\cos \frac{{2k\pi }}{n}} $$

, où [x] est la partie entière de x. Disons qu’une courbe C de genre [n/2], définie sur un corps k, est à multiplications réelles par G n s’il existe une correspondance C sur C telle que G n soit le polynôme caractéristique de l’endomorphisme induit par C sur les différentielles de première espèce de C.

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Authors
  1. J.-F. Mestre
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Editors and Affiliations

  1. Mathematisch Instituut, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    G. van der Geer

  2. Mathematisch Instituut, Rijksuniversiteit Utrecht, Budapestlaan 6, 3508 TA, Utrecht, The Netherlands

    F. Oort

  3. Mathematisch Instituut, Katholieke Universiteit Nijmegen, Toernooiveld, 6525 ED, Nijmegen, The Netherlands

    J. Steenbrink

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© 1991 Springer Science+Business Media New York

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Mestre, JF. (1991). Familles de courbes hyperelliptiques à multiplications réelles. In: van der Geer, G., Oort, F., Steenbrink, J. (eds) Arithmetic Algebraic Geometry. Progress in Mathematics, vol 89. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0457-2_9

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  • DOI: https://doi.org/10.1007/978-1-4612-0457-2_9

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6769-0

  • Online ISBN: 978-1-4612-0457-2

  • eBook Packages: Springer Book Archive

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