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Mathematical Notes

, Volume 76, Issue 1–2, pp 161–169 | Cite as

Branched Coverings over ℂ2 and the Jacobian Conjecture

  • G. V. Egorov
Article
  • 35 Downloads

Abstract

The class of branched coverings over \(\mathbb{C}^2\) traditionally called exotic arouses interest because of its connection with the Jacobian conjecture. In this paper, we construct a series of examples of such coverings; in particular, methods of construction of coverings with arbitrarily many sheets, as well as with unknotted branch curves, are described. In addition, some topological characteristics of these coverings are computed, which allows us to answer some questions about a possible counterexample to the Jacobian conjecture.

branched coverings exotic coverings Jacobian conjecture homology groups 

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • G. V. Egorov
    • 1
  1. 1.M. V. Lomonosov Moscow State UniversityRussia

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