Advertisement

Construction de courbes de genre 2 à partir de leurs modules

  • Jean-François Mestre
Chapter
Part of the Progress in Mathematics book series (PM, volume 94)

Abstract

Soient A la variété des modules des courbes de genre 2, R la surface de A correspondant aux courbes ayant une involution autre que l’involution hyperelliptique, et P un point de AR défini sur un corps k de caractéristique 0.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    S. Bloch, De Rham cohomology and conductors of curves, Duke Math. J. 54 (1987), 295–308.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    O. Bolza, On binary sextics with linear transformations into themselves, Amer. J. Math. 10 (1888), 47–70.MathSciNetCrossRefGoogle Scholar
  3. [3]
    A. Clebsch, “Theorie der Binären Algebraischen Formen,” Verlag von B.G. Teubner, Leipzig, 1872.zbMATHGoogle Scholar
  4. [4]
    P. Deligne, D. Mumford, The irreducibility of the space of curves of given genus, Publ. Math. IHES 36 (1969), 75–110.MathSciNetzbMATHGoogle Scholar
  5. [5]
    R. Fricke, “Lehrbuch der Algebra,” Volume III, F. Vieweg & Sohn, Braunschweig, 1928.zbMATHGoogle Scholar
  6. [6]
    J. Igusa, Arithmetic variety of moduli for genus two, Ann. of Math. 72 (1960), 612–649.MathSciNetzbMATHCrossRefGoogle Scholar
  7. [7]
    Y. Namikawa, K. Ueno, The complete classification of fibres in pencils of curves of genus two, Manuscripta Math. 9 (1973), 143–186.MathSciNetzbMATHCrossRefGoogle Scholar
  8. [8]
    A.P. Ogg, On pencils of curves of genus two, Topology 5 (1966), 355–362.MathSciNetzbMATHCrossRefGoogle Scholar
  9. [9]
    M. Raynaud, Spécialisation du foncteur de Picard, Publ. Math. IHES 38 (1970), 27–76.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Jean-François Mestre
    • 1
    • 2
  1. 1.École normale supérieureDépartement de Mathématiques et d’InformatiqueParis Cedex 05France
  2. 2.Université de Paris VIIParisFrance

Personalised recommendations