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The intersection matrices of singularities of functions of two variables

  • V. I. Arnold
  • S. M. Gusein-Zade
  • A. N. Varchenko
Chapter
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

The method ofcalculating the intersection matrix ofa singularity ofa function of two variables described in this chapter is due to S. M. Gusein-Zade ([147], [148]) and N. A’Campo ([7], [8]). It applies to all singularities oftwo variables. Using it allows us substantially to simplify many calculations connected with the quadratic form of a singularity (for example, the calculation of its signature).

Keywords

Quadratic Form Topological Structure Irreducible Component Intersection Matrix Projective Line 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • V. I. Arnold
  • S. M. Gusein-Zade
    • 1
  • A. N. Varchenko
    • 2
  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia
  2. 2.Department of MathematicsThe University of North Carolina at Chapel HillChapel HillUSA

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