Skip to main content

Ample divisors on 3-folds

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

Keywords

  • Line Bundle
  • Minimal Model
  • Normal Bundle
  • Blow Down
  • Holomorphic Section

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

  • [F] T. Fujita, On the structure of polarized manifolds of total deficiency, 1, J. Math. Soc. Japan 32 (1980), 709–725.

    CrossRef  MathSciNet  MATH  Google Scholar 

  • [H] R. Hartshorne, Algebraic Geometry, Springer Verlag, New York (1977).

    CrossRef  MATH  Google Scholar 

  • [I] S. Iitaka, On logarithmic Kodaira dimension of algebraic varieties, Complex Analysis and Algebraic Geometry, ed. by W. L. Baily, Jr. and T. Shioda (1977), 175–189, Iwanami Shoten.

    Google Scholar 

  • [I+S] V. A. Iskovskih and V. V. Šokurov, Biregular theory of Fano 3-folds, Proceedings Algebraic Geometry Conference, Copenhagen 1978, ed. by K. Lønsted, Lect. Notes in Math. 732 (1979), 171–182.

    Google Scholar 

  • [K] Y. Kawamata, A generalization of Kodaira-Ramanujam’s vanishing theorem, preprint.

    Google Scholar 

  • [R] L. Roth, Algebraic Threefolds, Springer Verlag, Heidelberg (1953).

    MATH  Google Scholar 

  • [S1] A. J. Sommese, On the minimality of hyperplane sections of projective threefolds, to appear in Journal für die reine und angewandte Mathematik.

    Google Scholar 

  • [S2] A. J. Sommese, The birational theory of hyperplane sections of projective threefolds, preprint.

    Google Scholar 

  • [V] E. Viehweg, Vanishing Theorems, preprint.

    Google Scholar 

  • [Z] O. Zariski, Introduction to the Problem of Minimal Models in the Theory of Algebraic Surfaces, Pub. Math. Soc. of Japan 4 (1958).

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Sommese, A.J. (1982). Ample divisors on 3-folds. In: Conte, A. (eds) Algebraic Threefolds. Lecture Notes in Mathematics, vol 947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093592

Download citation

  • DOI: https://doi.org/10.1007/BFb0093592

  • 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