Skip to main content
SpringerLink
Log in

Branched Coverings over Manifolds

  • Published:
Journal of Mathematical Sciences 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. J. W. Alexander, “Notes on Riemannian spaces,” Bull. Am. Math. Soc., 26, 370–372 (1919).

    Google Scholar 

  2. P. S. Aleksandrov, Introduction to Homologic Dimension Theory [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  3. G. Bredon, Introduction to Compact Group Transformations [Russian translation], Nauka, Moscow (1980).

    Google Scholar 

  4. E. Briescorn, “Monodromy of isolated singularities of hypersurfaces,” Matematika, 15,No. 4, 130–160 (1971).

    Google Scholar 

  5. R. Ganning and H. Rossi, Analytic Functions of Several Complex Variables [Russian translation], Mir, Moscow (1969).

    Google Scholar 

  6. Homotopic Theory of Differential Forms, Collection of Translations, Mathematics, Mir, Moscow (1981).

  7. S. Lang, Algebra [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  8. S. Lojasiewicz, “Triangulation of semianalytic sets,” Ann. Sci. Norm. Super., Pisa, Ser. III, 18,No. 4, 449–474.

  9. D. Mumford, “Topology of normal singularities of an algebraic surface and the simplicity criterion,” Matematika, 10,No. 6, 3–24 (1966).

    Google Scholar 

  10. J. Milnor, Singular Points of Complex Hypersurfaces, Ann. Math. Stud., 61, Princeton Univ. Press, Princeton, New Jersey (1968).

    Google Scholar 

  11. I. V. Savel'ev, “Cyclic branched coverings and singularities of complex hypersurfaces,” Usp. Mat. Nauk, 32,No. 1, 203–204 (1977).

    Google Scholar 

  12. I. V. Savel'ev, “On the structure of singularities for a certain class of complex hypersurfaces,” Mat. Zametki, 25,No. 4, 497–503 (1979).

    Google Scholar 

  13. I. V. Savel'ev, “On the topology of the complex analytic normalization,” Mat. Sb., 112,No. 2, 283–294 (1980).

    Google Scholar 

  14. I. V. Savel'ev, “The structure of the set of singular points of piecewise-linear branched coverings of manifolds,” Izv. Akad. Nauk SSSR, Ser. Mat., 49,No. 6, 1274–1301 (1985).

    Google Scholar 

  15. I. V. Savel'ev, “Polyhedra and algebraic sets,” Usp. Mat. Nauk, 44,No. 1, 207–208 (1989).

    Google Scholar 

  16. I. V. Savel'ev, “Simplicial complexes and ruled varieties,” Mat. Zametki, 50,No. 1, 92–97 (1991).

    Google Scholar 

  17. I. V. Savel'ev, “Splines and branched coverings,” Usp. Mat. Nauk, 50,No. 4, 169–170 (1995).

    Google Scholar 

  18. I. V. Savel'ev, “Splines and manifolds,” Usp. Mat. Nauk, 50,No. 6, 215–216 (1995).

    Google Scholar 

  19. M. Sebastian and R. Thom, “Un resultat sur la monodromie,” Invent. Math., 13,Nos. 1–2, 90–96 (1971).

    Google Scholar 

  20. H. Tietze, “Über die topoligischen Invarianten mehrdimensionaler Mannigfaltigkeiten,” Monats. Math. Phys., 19, 1–118 (1908).

    Google Scholar 

  21. I. R. Shafarevich, Foundations of Algebraic Geometry [in Russian], Nauka, Moscow (1972).

    Google Scholar 

Download references

Authors
  1. I. V. Savel'ev
    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

Savel'ev, I.V. Branched Coverings over Manifolds. Journal of Mathematical Sciences 119, 605–657 (2004). https://doi.org/10.1023/B:JOTH.0000011590.64761.cf

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:JOTH.0000011590.64761.cf

Keywords

Search

Navigation