Skip to main content
Log in

Abhyankar's conjecture on Galois groups over curves

  • Published:
Inventiones mathematicae Aims and scope

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

  • [Ab1] S. Abhyankar. Coverings of algebraic curves. Amer. J. Math.79, 825–856 (1957).

    Google Scholar 

  • [Ab2] S. Abhyankar. Galois theory on the line in nonzero characteristic. Bull. Amer. Math. Soc. (New Ser.)27, 68–133 (1992).

    Google Scholar 

  • [AGV] M. Artin, A. Grothendieck, J.-L. Verdier. Theorie des topos et cohomologie étale des schemas (SGA4). Lecture Notes in Mathematics269, Springer, New York, 1972.

    Google Scholar 

  • [AB] M. Auslander, D. Buchsbaum. Homological dimension in local rings. Trans. Amer. Math. Soc.85, 390–405 (1957).

    Google Scholar 

  • [Gr] A. Grothendieck, Revêtements étales et groupe fondamental (SGA 1). Lecture Notes in Math.224, Springer-Verlag, Berlin-Heidelberg-New York, 1971.

    Google Scholar 

  • [Ha1] D. Harbater. Moduli ofp-covers of curves. Communications in Algebra8, 1095–1122 (1980).

    Google Scholar 

  • [Ha2] D. Harbater. On purity of inertia. Proc. Amer. Math. Soc.112, 311–319 (1991).

    Google Scholar 

  • [Ha3] D. Harbater. Formal patching and adding branch points. Amer. J. Math.115, 487–508 (1993).

    Google Scholar 

  • [Ka] T. Kambayashi. Nori's construction of Galois coverings in positive characteristics. Algebraic and Topological Theories, Tokyo (1985), 640–647.

  • [Ra] M. Raynaud. Revêtements de la droite affine en caractéristiquep>0 et conjecture d'Abhyankar. Invent. Math.116, 425–462 (1994).

    Google Scholar 

  • [Se1] J.-P. Serre, Cohomologie Galoisienne. Springer, New York, 1964.

    Google Scholar 

  • [Se2] J.-P. Serre. Construction de revêtements étales de la droite affine en caractéristiquep. Comptes Rendus311, 341–346 (1990).

    Google Scholar 

  • [Se3] J.-P. Serre. Revêtements de courbes algébriques. Sem. Bourb.749 (1991).

Download references

Author information

Authors and Affiliations

Authors

Additional information

Oblatum IX-1992 & 18-VIII-1993

Supported in part by a grant from the NSA.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Harbater, D. Abhyankar's conjecture on Galois groups over curves. Invent Math 117, 1–25 (1994). https://doi.org/10.1007/BF01232232

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01232232

Keywords

Navigation