REAL SUBMANIFOLDS OF MAXIMUM COMPLEX TANGENT SPACE AT A CR SINGULAR POINT, II - Laboratoire Jean-Alexandre Dieudonné Accéder directement au contenu
Article Dans Une Revue Journal of Differential Geometry Année : 2019

REAL SUBMANIFOLDS OF MAXIMUM COMPLEX TANGENT SPACE AT A CR SINGULAR POINT, II

Xianghong Gong
  • Fonction : Auteur
  • PersonId : 957167

Résumé

We study a germ of real analytic n-dimensional submanifold of $C^n$ that has a complex tangent space of maximal dimension at a CR singularity. Under the condition that its complexification admits the maximum number of deck transformations, we first classify holomorphically its quadratic CR singularity. We then study its transformation to a normal form under the action of local (possibly formal) biholomorphisms at the singularity. We first conjugate formally its associated reversible map σ to suitable normal forms and show that all these normal forms can be divergent. We then construct a unique formal normal form under a non degeneracy condition.
Fichier principal
Vignette du fichier
GongStolovitch-jdg (1).pdf (664.16 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01378845 , version 1 (10-10-2016)
hal-01378845 , version 2 (29-11-2019)

Identifiants

Citer

Xianghong Gong, Laurent Stolovitch. REAL SUBMANIFOLDS OF MAXIMUM COMPLEX TANGENT SPACE AT A CR SINGULAR POINT, II. Journal of Differential Geometry, 2019, 112 (1), pp.121-198. ⟨10.4310/jdg/1557281008⟩. ⟨hal-01378845v2⟩
127 Consultations
134 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More