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Théorie classique et legendrienne des points d'aplatissement évanescents des courbes planes et spatiales

Abstract : We study the local extrinsic geometry of families of projective varieties depending on parameters. We introduce versal deformation and normal forms techniques for curves and state several results concerning the deformations of function-germs with respect to the extrinsic geometry of their fibres. Then, we include (up to some extent) this theory in Arnold's theory of wave-front propagation. New results concerning the bifurcation of parabolic curves on surfaces are stated.
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https://tel.archives-ouvertes.fr/tel-00001243
Contributor : Mauricio Garay <>
Submitted on : Thursday, March 21, 2002 - 6:19:16 PM
Last modification on : Wednesday, December 9, 2020 - 3:10:43 PM
Long-term archiving on: : Tuesday, September 11, 2012 - 5:10:27 PM

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  • HAL Id : tel-00001243, version 1

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Mauricio Garay. Théorie classique et legendrienne des points d'aplatissement évanescents des courbes planes et spatiales. Mathématiques [math]. Université Paris-Diderot - Paris VII, 2001. Français. ⟨tel-00001243⟩

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