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Computational Algebraic Geometry pp 177–184Cite as

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Applications of the Eisenbud-Levine’s theorem to real algebraic geometry

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Part of the book series: Progress in Mathematics ((PM,volume 109))

Abstract

Let f: (R n,0) → (R p,0) be the germ of an analytic mapping. The fibre f - 1(0) is locally homeomorphic to a cone, with vertex 0. The base L of the cone is the intersection of f − 1(0) with a small sphere S ∈ centred at 0. Investigation of topology of L is one of the most crucial aims of singularity theory.

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Author information

Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Gdanski, ul. Wita Stowsza, 57 80-952, Gdansk, Poland

    Andrzej Łȩcki & Zbigniew Szafraniec

Authors
  1. Andrzej Łȩcki
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  2. Zbigniew Szafraniec
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Editor information

Editors and Affiliations

  1. U.F.R. Faculté des Sciences Mathématiques, Université de Nice-Sophia Antipolis, 06108, Nice Cedex 2, France

    Frédéric Eyssette  & André Galligo  & 

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© 1993 Birkhäuser Boston

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Łȩcki, A., Szafraniec, Z. (1993). Applications of the Eisenbud-Levine’s theorem to real algebraic geometry. In: Eyssette, F., Galligo, A. (eds) Computational Algebraic Geometry. Progress in Mathematics, vol 109. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2752-6_12

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  • DOI: https://doi.org/10.1007/978-1-4612-2752-6_12

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7652-4

  • Online ISBN: 978-1-4612-2752-6

  • eBook Packages: Springer Book Archive

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