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The intersection form of a plane isolated line singularity

Part of the Lecture Notes in Mathematics book series (LNM,volume 1462)

Abstract

Consider an isolated singularity of a real analytic function in two variables. There exists a method to calculate its intersection matrix based on consideration of a real level of some special perturbation of the function [3]. In this paper we extend this method to the case of functions with a smooth curve as a singular set.

Keywords

  • Dynkin Diagram
  • Real Analytic Function
  • Line Singularity
  • Distinguished Basis
  • Special Perturbation

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.

The author is very thankful to the Mathematics Institute of the University of Warwick for its kind hospitality and support during the Symposium on Singularity Theory and its Applications when this work was completed.

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References

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© 1991 Springer-Verlag Berlin Heidelberg

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Goryunov, V.V. (1991). The intersection form of a plane isolated line singularity. In: Mond, D., Montaldi, J. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1462. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086380

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  • DOI: https://doi.org/10.1007/BFb0086380

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53737-3

  • Online ISBN: 978-3-540-47060-1

  • eBook Packages: Springer Book Archive