Inventiones mathematicae

, Volume 78, Issue 3, pp 445–490

Dyson's Lemma for polynomials in several variables (and the Theorem of roth)

  • Hélène Esnault
  • Eckart Viehweg
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Bombieri, E.: On the Thue-Siegel-Dyson theorem. Acta Math.148, 255–296 (1982)Google Scholar
  2. 2.
    Dyson, F.: The approximation to algebraic numbers by rationals. Acta Math.79, 225–240 (1947)Google Scholar
  3. 3.
    Esnault, H.: Classification des variétés de dimension 2 et plus, Séminaire Bourbaki no 568. Lecture Notes in Mathematics, vol. 901, pp. 111–131. Berlin-Heidelberg-New York: Springer 1981Google Scholar
  4. 4.
    Esnault, H., Viehweg, E.: Revêtements cycliques, Algebraic Threefolds, Proceedings, Varenna 1981. Lecture Notes in Mathematics, vol. 947, pp. 241–250. Berlin-Heidelberg-New York: Springer 1982Google Scholar
  5. 5.
    Esnault, H., Viehweg, E.: Sur une minoration du degré d'hypersurfaces s'annulant en certains points. Math. Ann.263, 75–86 (1983)Google Scholar
  6. 6.
    Hartshorne, R.: Algebraic Geometry. Graduate Texts in Mathematics vol. 52. Berlin-Heidelber-New York: Springer 1977Google Scholar
  7. 7.
    Kawamata, Y.: Characterization of abelian varieties. Comp. Math.43, 253–276 (1981)Google Scholar
  8. 8.
    Kawamata, Y.: A generalization of Kodaira-Ramanujam's Vanishing Theorem. Math. Ann.261, 43–46 (1982)Google Scholar
  9. 9.
    Roth, K.F.: Rational approximation to algebraic numbers. Mathematikat.2, 1–20 (1955)Google Scholar
  10. 10.
    Viehweg, E.: Vanishing Theorems. J. reine angew. Math.335, 1–8 (1982)Google Scholar
  11. 11.
    Viehweg, E.: Die Additivität der Kodaira Dimension für projektive Faserräume über Varietäten des allgemeinen Typs. J. reine angew. Math.330, 132–142 (1982)Google Scholar
  12. 12.
    Viehweg, E.: Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces. In: Algebraic Varieties and Analytic Varieties, Tokyo 1981, Adv. Studies in Pure Math., vol. 1, pp. 329–353. Kinokuniya Comp. & North-Holland Pub. Comp. 1983Google Scholar
  13. 13.
    Viehweg, E.: Weak positivity and the additivity of the Kodaira dimension, II: The local Torelli map. In: Classification of Algebraic and Analytic Manifolds, Katata 1982, Progress in Mathematics, vol. 39, pp. 567–589. Boston: Birkhäuser 1983Google Scholar
  14. 14.
    Viola, C.: On Dyson-Bombieri's lemma. Annali Scuola Norm. Sup. Pisa in press (1984)Google Scholar

Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Hélène Esnault
    • 1
  • Eckart Viehweg
    • 1
  1. 1.Max-Planck-Institut für MathematikBonn 3Federal Republic of Germany

Personalised recommendations