Skip to main content
Log in

Classical Godeaux surface in characteristicP

  • 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

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Artin, M.: Some numerical criteria for contractability of curves on algebraic surfaces. Arn. J. Math.84, 485–496 (1962)

    Google Scholar 

  2. Bombieri, E., Mumford, D.: Enriques' classification of surfaces in char. p, III. Invent. Math.35, 197–232 (1976)

    Google Scholar 

  3. Dolgacev, I.: Algebraic surfaces withq=p g=0 (to appear)

  4. Hartshorne, R.: Residues and duality. Lectures Notes in Mathematics, Vol. 20, Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  5. Hartshorne, R.: Ample subvarieties of algebraic varieties. Lecture Notes in Mathematics, Vol. 156. Berlin, Heidelberg, New York: Springer 1970

    Google Scholar 

  6. Knudson, D.: Algebraic spaces. Lecture Notes in Mathematics, Vol. 203. Berlin Heidelberg New York: Springer 1971

    Google Scholar 

  7. Lang, W.E.: Two theorems on de Rham cohomology. Compositio Math.40, 417–423 (1980)

    Google Scholar 

  8. Miyaoka, Y.: Tricanonical maps of numerical Godeaux surfaces. Invent. Math.34, 99–111 (1976)

    Google Scholar 

  9. Mumford, D.: The canonical ring of an algebraic surface. Ann. Math.76, 612–615 (1962)

    Google Scholar 

  10. Mumford, D.: Abelian varieties Bombay: Oxford Press 1970

    Google Scholar 

  11. Peters, C.A.M.: On two types of surfaces of general type with vanishing geometric genes. Invent. Math.32, 33–47 (1976)

    Google Scholar 

  12. Ramanujan, C.P.: Remarks on the Kodaira vanishing theorem. J. Indian Math. Soc.36, 41–51 (1972); J. Indian Math. Soc. Suppl.38, 121–124 (1974)

    Google Scholar 

  13. Raynaud, M.: Specialization du foncteur de Picard. Publ. Math. I.H.E.S.38, 27–76 (1970)

    Google Scholar 

  14. Raynaud, M.: “p-Torsion” du schema de Picard. Asterique64, 87–148 (1979)

    Google Scholar 

  15. Reid, M.: Surfaces withP g=0,K 2=1. J. Fac. Sci. Univ. Tokyo Sect. 1A,25, 75–92 (1978)

    Google Scholar 

  16. Shioda, T.: On unirationality of supersingular surfaces. Math Ann.225, 155–159 (1977)

    Google Scholar 

  17. Springer, T.A.: Invariant theory. Lecture Notes in Mathematics, Vol. 585. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lang, W.E. Classical Godeaux surface in characteristicP . Math. Ann. 256, 419–427 (1981). https://doi.org/10.1007/BF01450537

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01450537

Navigation