Normal forms of Levi-flat hypersurfaces with Arnold type singularities

• Arturo Fernández-Pérez ^[1]
  1. [1] Universidade Federal de Minas Gerais

     Universidade Federal de Minas Gerais

     Brasil

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 13, Nº 3, 2014, págs. 745-774
• Idioma: inglés
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• Resumen

  • In this paper we study normal forms of Levi-flat hypersurfaces with singularities. We prove a result analogous to the Burns-Gong theorem for the existence of rigid normal forms of Levi-flat hypersurfaces which are defined by the vanishing of the real part of Ak , Dk , Ek singularities