Skip to main content
Log in

The complex structure of domains covering algebraic surfaces

  • Published:
Functional Analysis and Its Applications 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.

Literature Cited

  1. L. Bers, "Simultaneous uniformization," in: Spaces of Riemann Surfaces and Quasiconformal Mappings [Russian translation], Izd. Inostr. Lit., Moscow (1961).

    Google Scholar 

  2. L. Bers, "Uniformization, moduli and Kleinian groups," Usp. Mat. Nauk,28, No. 4, 153–198 (1973).

    Google Scholar 

  3. R. Narasimhan, Analysis on Real and Complex Manifolds, North-Holland (1974).

  4. B. A. Fuks, Theory of Analytic Functions of Several Complex Variables, Amer. Math. Soc. (1965).

  5. S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, New York (1962).

    Google Scholar 

  6. M. F. Atiyah, "The signature of fibre bundles," in: Global Analysis (in honor of Kodaira), Princeton Univ. Press (1969), pp. 73–84.

  7. A. Borel, "Compact Clifford—Klein forms of symmetric spaces," Topology,2, No. 2, 111–122 (1963).

    Google Scholar 

  8. A. Borel, Seminar on Transformation Groups, Princeton Univ. Press (1966).

  9. E. Cartan, Sur les Groupes de Transformations Analytiques, Actualités Scient. et Industrielles, Vol. 198, Paris (1935).

  10. P. A. Griffiths, "Complex analytic properties of certain Zariski open sets on algebraic varieties," Ann. Math.,94, 21–51 (1971).

    Google Scholar 

  11. A. Grothendieck, "Techniques de construction en geometrie analytique," in: Sem. H. Cartan, Paris (1960–1961), pp. 7–8.

    Google Scholar 

  12. F. Hirzebruch, "Automorphe Formen und der Satz von Riemann—Roch," in: Symp. Intern. de Top. Alg., Mexico (1958), pp. 129–141.

    Google Scholar 

  13. A. Kas, "On deformations of a certain type of irregular algebraic surface," Amer. J. Math.,90, 789–804 (1968).

    Google Scholar 

  14. K. Kodaira, "A certain type of irregular algebraic surfaces," J. Analyse Math.,19, 207–215 (1967).

    Google Scholar 

  15. R. Narasimhan, Several Complex Variables, Univ. Chicago Press (1971).

  16. R. Palais, "On the existence of slices for actions of noncompact Lie groups," Ann. Math.,73, 295–323 (1961).

    Google Scholar 

Download references

Authors

Additional information

Moscow State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 11, No. 2, pp. 67–75, April–June, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shabat, G.B. The complex structure of domains covering algebraic surfaces. Funct Anal Its Appl 11, 135–142 (1977). https://doi.org/10.1007/BF01081892

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01081892

Keywords

Navigation