Characteristic Varieties of Algebraic Curves

  • A. Libgober
Part of the NATO Science Series book series (NAII, volume 36)


We study an invariant of plane algebraic curves with several components. Such invariant, called here a characterisitic variety, is a collection of subtori in the group of characters of the fundamental group of the complement to the curve. This invariant is a generalization of one variable Alexander polynomial. The paper discusses the basic properties of characterisitic varieties and their calculation in terms of position of the singularities of the curve in the plane.

Key words

plane algebraic curves singularities fundamental groups of the complements 

Mathematics Subject Classification (2000)

14E20 14H30 14H50 


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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • A. Libgober
    • 1
  1. 1.University of Illinois at ChicagoUSA

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