Normal forms of invariant vector fields under a finite group action

• Autores: Federico Sánchez-Bringas
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 37, Nº 1, 1993, págs. 75-82
• Idioma: inglés
• Títulos paralelos:
  • Formas normales de campos vectoriales invariantes bajo la acción de un grupo finito
• Enlaces
  • Texto completo
• Resumen

  • Let G be a finite subgroup of GL(n, C). This subgroup acts on the space of germs of holomorphic vector fields vanishing at the origin in Cn and on the group of germs of holomorphic diffeomorphisms of (Cn, 0). We prove a theorem of invariant conjugacy to a normal form and linearization for the subspace of invariant germs of holomorphic vector fields and we give a description of this type of normal forms in dimension n = 2.