Skip to main content

Stability and negativity for tangent sheaves of minimal Kähler spaces

  • Conference paper
  • First Online:
Book cover Geometry and Analysis on Manifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1339))

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Campana, F.: "Application de l'espace des cycles à la classification biméromorphe des espaces analytiques Kählériens compacts", prepublication of Univ. de Nancy 1, May 1980.

    Google Scholar 

  2. Enoki, I.: Kodaira dimension and higher cohomology of nef line bundles over compact Kähler manifolds, in preparation.

    Google Scholar 

  3. Kobayashi, S.: "Differential Geomerty of Complex Vector Bundles" (Publication of the Math. Soc. of Japan Vol. 15), Iwanami Shoten, Tokyo; Princeton Univ. Press, 1987.

    Google Scholar 

  4. Miyaoka, Y.: The Chern classes and Kodaira dimension of a minimal variety, in "Algebraic Geometry, Sendai, 1985", Advanced Studies in Pure Mathematics 10 (T. Oda, ed.), Kinokuniya, Tokyo; Noth-Holland, Amsterdam, 1987, 449–476.

    Google Scholar 

  5. —: Deformations of a morphism along a foliation and applications to appear in Proc. of Symp. in Pure Math.

    Google Scholar 

  6. Reid, M.: Minimal models of canonical 3-folds, in "Algebraic Varieties and Analytic Varieties" Advanced Studies in Pure Mathematics 1 (S. Iitaka ed.), Kinokuniya, Tokyo; Noth-Holland, Amsterdam, 1983, 131–180.

    Google Scholar 

  7. Tsuji, H.: Stability of tangent bundle of minimal algebraic varieties, preprint, Harvard Univ., 1987, to appear in Topology.

    Google Scholar 

  8. Yau, S.-T.: On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampere equation, I, Comm. Pure Appl. Math. 31 (1978), 339–411.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Toshikazu Sunada

Additional information

Dedicated to Professor Shingo Murakami on his sixtieth birthday

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag

About this paper

Cite this paper

Enoki, I. (1988). Stability and negativity for tangent sheaves of minimal Kähler spaces. In: Sunada, T. (eds) Geometry and Analysis on Manifolds. Lecture Notes in Mathematics, vol 1339. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083051

Download citation

  • DOI: https://doi.org/10.1007/BFb0083051

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50113-8

  • Online ISBN: 978-3-540-45930-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics