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Vanishing cycles and special fibres

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

Abstract

We show that the homotopy type of certain special fibres in a perturbation of a holomorphic function is a wedge of spheres of middle dimension. We also define a basis of the homology of the special fibre.

Keywords

  • Homotopy Type
  • Special Fibre
  • Milnor Number
  • Singular Fibre
  • Milnor Fibre

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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References

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© 1991 Springer-Verlag Berlin Heidelberg

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Siersma, D. (1991). Vanishing cycles and special fibres. 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/BFb0086389

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  • DOI: https://doi.org/10.1007/BFb0086389

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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