Inventiones mathematicae

, Volume 86, Issue 1, pp 161–194 | Cite as

Logarithmic de Rham complexes and vanishing theorems

  • Hélène Esnault
  • Eckart Viehweg
Article

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Atiyah, M.: Complex analytic connections in fibre bundles. Trans. Am. Math. Soc.85, 181–207 (1957)Google Scholar
  2. 2.
    Bernstein, J.: Algebraic theory ofD-modules. Mimeographed Notes, 1983/84Google Scholar
  3. 3.
    Deligne, P.: Equations différentielles à points singuliers réguliers. Lect. Notes Math.163, 1970Google Scholar
  4. 4.
    Deligne, P.: Théorie de Hodge, II and III. Publ. Math. I.H.E.S.40, 5–58 (1971) and44, 5–77 (1975)Google Scholar
  5. 5.
    Esnault, H., Viehweg, E.: Revêtements cycliques. Algebraic Threefolds, Proceedings, Varenna 1981. Lect. Notes Math.947, 241–250, 1982Google Scholar
  6. 6.
    Esnault, H., Viehweg, E.: Revêtements cycliques II. Proceedings, La Rábida 1984 (to apear)Google Scholar
  7. 7.
    Griffiths, P., Harris, J.: Principles of algebraic geometry. New York, Chichester, Brisbane, Toronto: John Wiley and Sons 1978Google Scholar
  8. 8.
    Kawamata, Y.: A generalization of Kodaira-Ramanujam's vanishing theorem. Math. Ann.261, 43–46 (1982)Google Scholar
  9. 9.
    Kollár, J.: Higher direct images of dualizing sheaves I. Ann. Math.123, 11–42 (1986)Google Scholar
  10. 10.
    Kollár, J.: Higher direct images of dualizing sheaves II, (preprint, 1985 to appear)Google Scholar
  11. 11.
    Viehweg, E.: Vanishing theorems. J. Reine Angew. Math.335, 1–8 (1982)Google Scholar
  12. 12.
    Zucker, S.: Hodge theory with degenerating coefficients:L 2 cohomology in the Poincaré metric. Ann. Math.109, 415–476 (1979)Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Hélène Esnault
    • 1
  • Eckart Viehweg
    • 2
  1. 1.Max-Planck-Institut für MathematikBonn 3Federal Republic of Germany
  2. 2.FB6, MathematikUniversität—Gesamthochschule—EssenEssen 1Federal Republic of Germany

Personalised recommendations