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Simple tangential family germs and perestroikas of their envelopes

Capitanio, Gianmarco (2006), Simple tangential family germs and perestroikas of their envelopes, Bulletin des sciences mathématiques, 130, 1, p. 1-14. http://dx.doi.org/10.1016/j.bulsci.2005.03.002

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Type
Article accepté pour publication ou publié
Date
2006
Nom de la revue
Bulletin des sciences mathématiques
Volume
130
Numéro
1
Éditeur
Elsevier
Pages
1-14
Identifiant publication
Métadonnées
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Auteur(s)
Capitanio, Gianmarco
Résumé (EN)
A tangential family is a 1-parameter system of regular curves emanating tangentially from another regular curve. We classify simple tangential family germs up to View the A-equivalence. We describe perestroikas of envelopes of simple tangential family germs of small codimension under small deformations of the germ among tangential families.
Mots-clés
Singularity theory; Simple singularities; A-equivalence; Tangential families