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The quadratic differential of a map

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Singularities of Differentiable Maps, Volume 1

Part of the book series: Modern Birkhäuser Classics ((MBC))

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Abstract

The rank of the first differential ƒx determines the singularity classes ∑i. 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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© 2012 Springer Science+Business Media New York

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Arnold, V.I., Gusein-Zade, S.M., Varchenko, A.N. (2012). The quadratic differential of a map. In: Singularities of Differentiable Maps, Volume 1. Modern Birkhäuser Classics. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8340-5_3

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