Skip to main content

Threefolds whose canonical bundles are not numerically effective

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 947)

Keywords

  • Irreducible Component
  • Exceptional Divisor
  • Closed Convex Cone
  • Canonical Bundle
  • Cartier Divisor

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Beauville, Variete de Prym et jacobiennes intermediaire, Ann. Scient. de l’Ecole Norm. Sup. 10, 1977, 304–392.

    MathSciNet  Google Scholar 

  2. T. Fujita, On the structure of polarized varieties with Δ-genera zero, J. Fac. Sci., U. of TokyO, Sec. IA, Vol. 22, No. 1, 1975, 103–115.

    MathSciNet  MATH  Google Scholar 

  3. A. Grothendieck, Elements de geometric algebrique, Publ. Math. IHES, No. 11, 1961.

    Google Scholar 

  4. A. Grothendieck, Fondements de la geometrie algebrique, Secretariat Math. 11 Rue Pierre Curie, Paris 5e, 1962.

    Google Scholar 

  5. -, Sur une note de Mattuck-Tate, Crelle, 20, 1958, 208–215.

    MathSciNet  MATH  Google Scholar 

  6. R. Hartshorne, Ample subvarieties of algebraic varieties, Lecture Notes in Math. 156, Springer-Verlag, 1970.

    Google Scholar 

  7. S. Iitaka, On D-dimensions of algebraic varieties, J. Math. Soc. Japan, 23, 1971, 356–373.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. V. A. Iskovskih, Fano 3-folds I, Math. USSR, Izv. 11, 1977, 485–527.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. -, Fano 3-folds II, Math. USSR, Izv. 12, 1978, 469–506.

    CrossRef  MATH  Google Scholar 

  10. Y. Kawamata, A generalization of Kodaira-Ramanujam’s vanishing theorem, to appear.

    Google Scholar 

  11. S. Kleiman, Toward a numerical theory of ampleness, Ann. Math. 84, 1966, 293–344.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. S. Mori, Projective manifolds with ample tangent bundles, Ann. Math., 110, 1979, 593–606.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. S. Mori, Threefolds whose canonical bundles are not numerically effective, to appear in Ann. Math.

    Google Scholar 

  14. -, and S. Mukai, Classification of Fano 3-folds with B2≥2, manuscr. math. 36 (1981) 147–162

    CrossRef  MathSciNet  MATH  Google Scholar 

  15. D. Mumford, Algebraic Geometry I, Complex Projective Varieties, Grundl. der Math. Wiss. 221, Springer-Verlag, New York, 1976.

    MATH  Google Scholar 

  16. C. P. Ramanujam, Supplement to the article “Remarks on the Kodaira vanishing theorem”, J. of the Indian Math. Soc. 38, 1974, 121–124.

    MathSciNet  MATH  Google Scholar 

  17. K. Ueno, Introduction to classification theory of algebraic varieties and compact complex spaces, Lecture Notes in Math. 412, Springer-Verlag, 1974, 288–332.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Mori, S. (1982). Threefolds whose canonical bundles are not numerically effective. In: Conte, A. (eds) Algebraic Threefolds. Lecture Notes in Mathematics, vol 947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093587

Download citation

  • DOI: https://doi.org/10.1007/BFb0093587

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11587-8

  • Online ISBN: 978-3-540-39342-9

  • eBook Packages: Springer Book Archive