Skip to main content
SpringerLink
Log in

On fano 3-folds with non-rational singularities and two-dimensional base

  • Published:
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. R. Hartshorne. Algebraic Geometry. Graduate Texts in Mathematics52, Springer Verlag, Berlin-Heidelberg-New York 1977.

    Google Scholar 

  2. S. Ishii. Quasi-Gorenstein Fano 3-folds with Isolated Non-rational Loci. Compositio Math.77 (1991), 335–341.

    MATH  MathSciNet  Google Scholar 

  3. S. Ishii andK. Watanabe. A Geometric Characterization of a Simple K3-singularity. Tohoku Math. J.44 (1992), 19–24.

    Article  MATH  MathSciNet  Google Scholar 

  4. Y. Kawamata, K. Matsuda andK. Matsuki. Introduction to the Minimal Model Problem. Algebraic Geometry in Sendai 1985 edited by Oda, Advanced Studies in Pure Math.10, 283–360. Kinokuniya, Tokyo and North-Holland, Amsterdam-New York-Oxford 1987.

    MathSciNet  Google Scholar 

  5. S. Mori. Threefolds Whose Canonical Bundles are not Numerically Effective. Annals of Math.116 (1982), 133–176.

    Article  Google Scholar 

  6. S. Mori. Flip Theorem and the Existence of Minimal Models for 3-folds. J. Amer. Math. Soc.1 (1988), 117–253.

    Article  MATH  MathSciNet  Google Scholar 

  7. R.L.E. Schwarzenberger. Vector Bundles on Algebraic Surfaces. Proc. London Math. Soc.11 (1961), 601–622.

    Article  MATH  MathSciNet  Google Scholar 

  8. Y Umezu. On Normal Projective Surfaces with Trivial Dualizing Sheaf. Tokyo J. Math.4 (1981), 343–354.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo Institute of Technology, Oh-okayama, Meguro 152, Tokyo, Japan

    S. Ishii

Authors
  1. S. Ishii
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ishii, S. On fano 3-folds with non-rational singularities and two-dimensional base. Abh.Math.Semin.Univ.Hambg. 64, 249–277 (1994). https://doi.org/10.1007/BF02940788

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02940788

Keywords

Search

Navigation