%0 Journal Article
%T A geometric proof of the Lelong-Poincar¨¦ formula
%A M El Amrani
%A A Jeddi
%J Proyecciones (Antofagasta)
%D 2013
%I Universidad Cat¨®lica del Norte
%X We propose a geometric proof of the fundamental Lelong-Poincar¨¦ formula : dd c 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 /. Our approach is based, via the local parametrization theorem, on a precise study of the local geometry of the hypersurface given by /. Our proof extends naturally to the meromorphic case.
%K Complex analytic manifolds
%K analytic sets
%K local parametrization theorem
%K integration currents
%K branching coverings
%U http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172013000100001