Skip to main content

On the hyperplane sections of ruled surfaces

  • Conference paper
  • First Online:
Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1417))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bese E., On the Spannedness and Very Ampleness of Certain Line Bundles on the Blow-ups of P2 and Fr, Math.Ann. 262, 225–238(1983).

    Article  MathSciNet  MATH  Google Scholar 

  2. Biancofiore A., On the hyperplane sections of blow ups of complex projective plane, To appear on Can.J. Math.

    Google Scholar 

  3. Biancofiore A. and Livorni E.L., On the iteration of the adjunction process in the study of rational surfaces, Ind.Univ.Math.J. Vol.36,No.1, 167–188 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  4. Biancofiore A. and Livorni E.L., On the genus of a hyperplane section of a geometrically ruled surface, Annali di Mat. Pura ed Appl. (IV), Vol.CXLVII, 173–185 (1987).

    Article  MathSciNet  MATH  Google Scholar 

  5. Biancofiore A. and Livorni E.L.,On the iteration of the adjunction process for surfaces of negative Kodaira dimension, To appear on Manuscripta Mathematica.

    Google Scholar 

  6. Biancofiore A. and Livorni E.L., Algebraic ruled surfaces with low sectional genus, Ricerche di Matematica Vol.XXXVI,facs.1o,17–32 (1987)

    MathSciNet  MATH  Google Scholar 

  7. Hartshorne R., Algebraic Geometry, Springer Verlag, New York (1977).

    Book  MATH  Google Scholar 

  8. Livorni E.L., Classification of algebraic surfaces with sectional genus less than or equal to six. II Ruled surfaces with dim ΦKX⊗L(X)=1, Can.J. Math. Vol.XXXVII,No.4,1110–1121(1986).

    Article  MathSciNet  MATH  Google Scholar 

  9. Livorni E.L., Classification of algebraic surfaces with sectional genus less than or equal to six. II Ruled surfaces with dim ΦKX⊗L(X)=2, Math. Scand. 59, 9–29(1986).

    MathSciNet  MATH  Google Scholar 

  10. Livorni E.L., On the existence of some surfaces, Preprint.

    Google Scholar 

  11. Reider I., Vector bundles of rank 2 and linear systems on algebraic surfaces, Ann. of Math. 127, 309–316(1988).

    Article  MathSciNet  MATH  Google Scholar 

  12. Sommese A.J. and Van de Ven A., On the adjunction mapping, Math. Ann. 278, 593–603(1987).

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Andrew John Sommese Aldo Biancofiore Elvira Laura Livorni

Rights and permissions

Reprints and permissions

Copyright information

© 1990 Springer-Verlag

About this paper

Cite this paper

Biancofiore, A. (1990). On the hyperplane sections of ruled surfaces. In: Sommese, A.J., Biancofiore, A., Livorni, E.L. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083332

Download citation

  • DOI: https://doi.org/10.1007/BFb0083332

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52217-1

  • Online ISBN: 978-3-540-46934-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics