Skip to main content
Log in

Torsion freeness of higher direct images of canonical bundles

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Deligne, P.: Equation différentielles à point singuliers réguliers. Lect. Notes Math. 163. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  2. Kawamata, Y.: Kodaira dimension of algebraic fiber spaces over curves. Invent. Math.66, 57–71 (1982)

    Google Scholar 

  3. Kawamata, Y.: Kodaira dimension of certain algebraic fiber spaces. J. Fac. Sci. Univ. Tokyo30, 1–24 (1983)

    Google Scholar 

  4. Kollár, J.: Higher direct images of dualizing sheaves. I. Ann. Math.123, 11–42 (1986)

    Google Scholar 

  5. Kollár, J.: Higher direct images of dualizing sheaves. II. Ann. Math.124, 171–202 (1986)

    Google Scholar 

  6. Moishezon, M.G.: Onn-dimensional compact varieties withn algebraically independent meromorphic functions. Am. Math. Soc. Trans.63, 51–117 (1967)

    Google Scholar 

  7. Nakamura, I.: On classification of parallelisable manifolds and small deformations. J. Differ. Geom.10, 85–112 (1975)

    Google Scholar 

  8. Nakayama, N.: Hodge filtrations and the higher direct images of canonical sheaves. Invent. Math.86, 217–221 (1986)

    Google Scholar 

  9. Nakayama, N.: On the lower semi-continuity of the plurigenera. Preprint (1985)

  10. Ohsawa, T.: Vanishing theorems on complete Kähler manifolds. Publ. RIMS Kyoto Univ.20, 21–38 (1984)

    Google Scholar 

  11. Saito, M.: Modules de Hodge polarisables. Preprint (1986)

  12. Schmid, W.: Variation of Hodge structure. Invent. Math.22, 211–319 (1973)

    Google Scholar 

  13. Takegoshi, K.: Relative vanishing theorems in analytic spaces. Duke Math. J.52, 273–279 (1985)

    Google Scholar 

  14. Ueno, K.: On three-dimensional compact complex manifolds with non-negative Kodaira dimension. Proc. Japan Acad.56, Ser. A, 479–483 (1980)

    Google Scholar 

  15. Viehweg, E.: Weak positivity and the additivity of the Kodaira dimension for certain fibre spaces. In: Advanced Studies in Pure Math. 1, Kinokuniya, Tokyo, 329–353 (1983)

    Google Scholar 

  16. Zucker, S.: Degenerations of Hodge bundles, in Topics in transcendental algebraic geometry. Ann. Math. Stud.106, 121–141 (1984)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor Masayoshi Nagata on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moriwaki, A. Torsion freeness of higher direct images of canonical bundles. Math. Ann. 276, 385–398 (1987). https://doi.org/10.1007/BF01450836

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450836

Keywords

Navigation