Skip to main content

Fano threefolds with singularities

  • 580 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1124)

Keywords

  • Curve Section
  • Hyperplane Section
  • Fano Variety
  • Conic Bundle
  • Quartic Surface

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   54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   69.95
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. Bogomolov, F.A. Holomorphic tensors and vector bundles over algebraic varieties, Izv. Akad. Nauk. SSSR, Ser Math., 42(1978), 1227–87.

    MathSciNet  Google Scholar 

  2. Demin, I.V. Bounds on the degree of a 3-dimensional Fano variety representable as a fibering on a conic, Usp. Mat. Nauk, 36 (1981), 209–10.

    MathSciNet  MATH  Google Scholar 

  3. Epema, D. Surfaces with canonical hyperplane sections, Ph. D. Thesis, University of Leiden, 1983.

    Google Scholar 

  4. Fano, G. Sulle varietà algebriche a tre dimensioni a curve sezioni canoniche, Mem. Acc. Italia, 8(1937), 23–64.

    MATH  Google Scholar 

  5. Iskovskikh, V.A. Fano threefolds I, Izv. Akad. Nauk SSSR, Ser. Mat., 41(1977), 516–62.

    MathSciNet  MATH  Google Scholar 

  6. Iskovskikh, V.A. Fano threefolds II, Izv. Akad. Nauk SSSR, Ser. Mat., 42(1978), 504–49.

    MathSciNet  Google Scholar 

  7. L’Vovskii, S.M. Boundedness of the degree of Fano threefolds, Izv. Akad. Nauk SSSR, Ser Mat., 45(1981), 521–58.

    MathSciNet  Google Scholar 

  8. Mori, S. and Mukai, S. Classification of Fano threefolds with the second Betti number ≥2, Man. Math. 36 (1981), 147–62.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. Shokurov, V.V. The existence of lines on Fano threefolds, Izv. Akad. Nauk SSSR, Ser. Mat., 43 (1979), 922–64.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Conte, A. (1985). Fano threefolds with singularities. In: Casas-Alvero, E., Welters, G., Xambó-Descamps, S. (eds) Algebraic Geometry Sitges (Barcelona) 1983. Lecture Notes in Mathematics, vol 1124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074996

Download citation

  • DOI: https://doi.org/10.1007/BFb0074996

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15232-3

  • Online ISBN: 978-3-540-39643-7

  • eBook Packages: Springer Book Archive