Skip to main content
SpringerLink
Log in

Surfaces of small degree

  • Published:
Mathematische Annalen 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. Beauville, A.: Sur le nombre maximum de points doubles d'une surface dans ℙ3(μ(5)=31). In: Journées de géométrie algébrique d'Angers, ed. A. Beauville, pp. 207–215. Alphen: Sijthoff and Nordhoff 1980

    Google Scholar 

  2. Demazure, M.: Surfaces de Del Pezzo, I–V. In: Séminaire sur les singularités des surfaces, 777, Berlin, Heidelberg, New York: Springer 1980

    Google Scholar 

  3. Dicks, D.: Birational pairs according to Iitaka. Warwick preprint, to appear in Proc. of AMS Summer Institute, Bowdoin College, July 1985

  4. Horikawa, E.: Algebraic surface of general type with smallc 21 , V., J. Fac. Sci. Univ. Tokyo, Sect. IA28, 745–755 (1981)

    Google Scholar 

  5. Iitaka, S.: On irreducible plane curves, Saitama Math. J.1, 47–63 (1983)

    Google Scholar 

  6. Mori, S.: Three-folds whose canonical bundles are not numerically effective. Ann. Math.116, 133–176 (1982)

    Google Scholar 

  7. Nagata, M.: On rational surfaces I and II. I: Mem. Coll. Sci. Univ. Kyoto, Ser. A32, 351–370 (1960); II:33, 271–293 (1960/61)

    Google Scholar 

  8. Reid, M.: π1 for surfaces with smallK 2. In: 732, pp. 534–544, Berlin, Heidelberg, New York: Springer 1979

    Google Scholar 

  9. Xiao Gang: Hyperelliptic surfaces of general type withK 2<4χ. Shanghai preprint

  10. Xiao Gang: Algebraic surfaces with high canonical degree. Math. Ann.274, 473–483 (1986)

    Google Scholar 

  11. Wilson, P.M.H.: Birational classification of algebraic varieties, survey article. Bull. London Math. Soc. (to appear)

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute, University of Warwick, CV47AL, Coventry, UK

    Miles Reid

Authors
  1. Miles Reid
    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

Reid, M. Surfaces of small degree. Math. Ann. 275, 71–80 (1986). https://doi.org/10.1007/BF01458584

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01458584

Keywords

Search

Navigation