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The quadratic differential of a map

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Singularities of Differentiable Maps

Part of the book series: Monographs in Mathematics ((MMA,volume 82))

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Abstract

The rank of the first differential f x determines the singularity classes Σi. Consideration of the quadratic part of the map gives a more precise classification: we associate to each singularity a family of quadratic forms invariantly associated with it.

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© 1985 Birkhäuser Boston, Inc.

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Arnold, V.I., Gusein-Zade, S.M., Varchenko, A.N. (1985). The quadratic differential of a map. In: Singularities of Differentiable Maps. Monographs in Mathematics, vol 82. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5154-5_3

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  • DOI: https://doi.org/10.1007/978-1-4612-5154-5_3

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-9589-1

  • Online ISBN: 978-1-4612-5154-5

  • eBook Packages: Springer Book Archive

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