Skip to main content
Log in

On Enriques surfaces in characteristicp. II

  • 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.

References

  1. Artin, M.: SupersingularK3 surfaces. Ann. Sci. Ec. Norm. Super., IV. Ser.7, 543–567 (1974)

    Google Scholar 

  2. Artin, M., Milne, J.S.: Duality in the flat cohomology of curves. Invent. Math.35, 111–129 (1976)

    Google Scholar 

  3. Bombieri, E., Mumford, D.: Enriques classification of surfaces in charp. III. Invent. Math.35, 197–232 (1976)

    Google Scholar 

  4. Bourbaki, N.: Groupes et algèbres de Lie, Ch. IV–VI. Paris: Hermann 1968

    Google Scholar 

  5. Burns, D., Wahl, J.: Local contributions to global deformations of surfaces. Invent. Math.26, 67–88 (1974).

    Google Scholar 

  6. Cossec, F.: On the Picard group of Enriques surfaces. Math. Ann.271, 577–600 (1985)

    Google Scholar 

  7. Cossec, F., Dolgacev, I.: Smooth rational curves on Enriques surfaces. Math. Ann.272, 369–384 (1985)

    Google Scholar 

  8. Grothendieck, A.: Le groupe de Brauer III. In: Dix exposés sur la cohomologie des schemas. pp. 88–188. Amsterdam: North-Holland Press 1968

    Google Scholar 

  9. Harbourne, B., Lang, W.E.: Multiple fibres on rational elliptic surfaces. Preprint

  10. Hoobler, R.: Cohomology of purely inseparable Galois coverings. J. Reine Angew Math.266, 183–199 (1974)

    Google Scholar 

  11. Katsura, T.: A note on Enriques surfaces in characteristic 2. Compos. Math.47, 207–216 (1982)

    Google Scholar 

  12. Katsura, T., Ueno, K.: On elliptic surfaces in characteristicp. Math. Ann.272, 291–330 (1985)

    Google Scholar 

  13. Katsura, T., Ueno, K.: Multiple singular fibres of typeG a on elliptic surfaces in characteristicp. In: Algebraic and topological theories, pp. 405–429. Amsterdam New York Oxford: North-Holland 1985

    Google Scholar 

  14. Lang, S.: Elliptic functions. Reading-London-Amsterdam: Addison-Wesley 1973

    Google Scholar 

  15. Lang, W.E.: On Enriques surfaces in characteristicp. I. Math. Ann.265, 45–65 (1983)

    Google Scholar 

  16. Lang, W.E.: An analogue of the logarithmic transform in characteristicp. Canad. Math. Soc. Proc.6, 337–340 (1986)

    Google Scholar 

  17. Lichtenbaum, S.: The period-index problem for elliptic curves. Am. J. Math.90, 1209–1223 (1968)

    Google Scholar 

  18. Moody, R.V.: Root systems of hyperbolic type. Adv. Math.33, 155–160 (1979)

    Google Scholar 

  19. Ogus, A.: SupersingularK3 crystals. Asterisque64, 3–68 (1979)

    Google Scholar 

  20. Raynaud, M.. Specialisation du foncteur de Picard. Publ. Math., Inst. Hautes Etud. Sci.38, 27–76 (1970)

    Google Scholar 

  21. Rudakov, A.N., Shafarevich, I.R.: SupersingularK3 surfaces over fields of characteristic two. Math. USSR, Izu.13, 147–165 (1979)

    Google Scholar 

  22. Rudakov, A.N., Shafarevich, I.R.: Surfaces of typeK3 over fields of finite characteristic. J. Sov. Math.22, 1476–1532 (1983)

    Google Scholar 

  23. Serre, J.-P.: A course in arithmetic. (Graduate texts in mathematics, Vol. 7). Berlin Heidelberg New York: Springer 1973

    Google Scholar 

  24. Wahl, J.: Vanishing theorems for resolutions of surface singularities. Invent. Math.31, 17–41 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

University of Minnesota Mathematics Report #86-140

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lang, W.E. On Enriques surfaces in characteristicp. II. Math. Ann. 281, 671–685 (1988). https://doi.org/10.1007/BF01456844

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456844

Navigation