Skip to main content
Log in

Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general type

  • 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. Aubin, T.: Equation de type Monge-Ampère sur les variétés Kählériennes compactes. C. R. Acad. Sci. Paris283, 119–121 (1976)

    Google Scholar 

  2. Cao, H.D.: Deformation of Kähler-metrics to Kähler-Einstein metrics. Invent. Math.81, 359–372 (1985)

    Google Scholar 

  3. Hamilton, R.S.: Three manifolds with positive Ricci curvature. J. Differ. Geom.17, 255–306 (1982)

    Google Scholar 

  4. Iitaka, S.: Algebraic geometry (Graduate Texts Mathematics, Vol. 76). Berlin Heidelberg New York: Springer 1982

    Google Scholar 

  5. Kawamata, Y.: A generalization of Kodaira-Ramanujams' vanishing theorem. Math. Ann.261, 43–46 (1982)

    Google Scholar 

  6. Kawamata, Y.: Pluricanonical systems on minimal algebraic varieties. Invent. Math.79, 567–588 (1985)

    Google Scholar 

  7. Kawamata, Y.: The cone of curves of algebraic varieties. Ann. Math.119, 603–633 (1984)

    Google Scholar 

  8. Trudinger, N.S.: Fully nonlinear elliptic equation under natural structure conditions. Trans. Am. Math. Soc.272, 751–769 (1983)

    Google Scholar 

  9. Yau, S.-T.: On Calabi's conjecture and some new results in algebraic geometry. Proc. Natl. Acad. Sci. USA74, 1788–1799 (1977)

    Google Scholar 

  10. Yau, S.-T.: On the Ricci curvatue of a compact Kähler manifold and the complex Morge-Ampère equation I. Commun. Pure Appl. Math.31, 339–411 (1978)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tsuji, H. Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general type. Math. Ann. 281, 123–133 (1988). https://doi.org/10.1007/BF01449219

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01449219

Keywords

Navigation