A geometric proof of the Lelong-Poincaré fórmula

• El Amrani, M. ^[1] ; Jeddi, A. ^[2]
  1. [1] University of Angers

     University of Angers

     Arrondissement d’Angers, Francia

     
  2. [2] Université (et Archives de) H. Poincaré.
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 1, 2013, págs. 1-13
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • We propose a geometric proof of the fundamental Lelong-Poincaré formula : ddc log |/ | = [/ = 0] where f is any nonzero holomorphic function defined on a complex analytic manifold V and [/ = 0] is the integration current on the divisor of the zeroes of /.