Du'c, Pham: Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées

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Nguyen Hu'u Du'c; Frédéric Pham
Germes de configurations legendriennes stables et fonctions d'Airy-Weber généralisées
Annales de l'institut Fourier, 41 no. 4 (1991), p. 905-936, doi: 10.5802/aif.1279
Article PDF | Reviews MR 93e:58019 | Zbl 0741.58048 | 2 citations in Cedram

Résumé - Abstract

One knows after Maslov, Arnold, etc... how to associate to almost every germ of lagrangian or legendrian manifold a class of oscillatory functions which, under generic hypotheses à la Thom, yield universal models for the behaviour of a light wave near the caustic.

This article extends this construction to a class of situations where the characteristic variety is a singular germ (a union of smooth components), which can still be stable in the sense that the (legendrian) characteristic variety admits only trivial (legendrian) deformations.

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