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The classification of Lagrangian and Legendrian singularities

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Book cover Singularities of Differentiable Maps, Volume 1

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

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Abstract

The theory of generating families reduces the study of Lagrangian and Legendrian singularities to the study of singularities of families of functions and hypersurfaces. The tools developed in the preceding parts for studying the singularities of functions therefore give valuable information about caustics and fronts. In the pages which follow we give the results that have been obtained in this direction.

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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 classification of Lagrangian and Legendrian singularities. In: Singularities of Differentiable Maps, Volume 1. Modern Birkhäuser Classics. Birkhäuser, Boston. https://doi.org/10.1007/978-0-8176-8340-5_21

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