Titre : | Unfolding CR singularities | Type de document : | texte imprimé | Auteurs : | Coffman ADAM, Auteur | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | Année de publication : | cop. 2009 | Collection : | Memoirs of the American Mathematical Society, ISSN 0065-9266 num. 961 | Importance : | VII-90 p. | ISBN/ISSN/EAN : | 978-0-8218-4657-5 | Langues : | Anglais (eng) | Catégories : | 32S30 32V40 58K35
| Mots-clés : | CR-sous variété singularités analyse glabale | Résumé : | A notion of unfolding, or multi-parameter deformation, of CR singularities of real submanifolds in complex manifolds is proposed, along with a definition of equivalence of unfoldings under the action of a group of analytic transformations. In the case of real surfaces in complex 2-space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by putting the parameter-dependent real analytic defining equations into normal forms up to some order. For some real analytic unfoldings in higher codimension, the method of rapid convergence is used to establish real algebraic normal forms. | Note de contenu : | bibliogr. |
Unfolding CR singularities [texte imprimé] / Coffman ADAM, Auteur . - American Mathematical Society, cop. 2009 . - VII-90 p.. - ( Memoirs of the American Mathematical Society, ISSN 0065-9266; 961) . ISBN : 978-0-8218-4657-5 Langues : Anglais ( eng) Catégories : | 32S30 32V40 58K35
| Mots-clés : | CR-sous variété singularités analyse glabale | Résumé : | A notion of unfolding, or multi-parameter deformation, of CR singularities of real submanifolds in complex manifolds is proposed, along with a definition of equivalence of unfoldings under the action of a group of analytic transformations. In the case of real surfaces in complex 2-space, deformations of elliptic, hyperbolic, and parabolic points are analyzed by putting the parameter-dependent real analytic defining equations into normal forms up to some order. For some real analytic unfoldings in higher codimension, the method of rapid convergence is used to establish real algebraic normal forms. | Note de contenu : | bibliogr. |
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