Jean-François ColombeauU.E.R. de Mathématiques et d’Informatique, Université de Bordeaux IJorge MujicaInstituto de Matemática, Universidade Estadual de Campinas
We give a local criterion in terms of a residue current for strong holomorphicity of a meromorphic function on an arbitrary pure-dimensional analytic variety. This generalizes a result by A. Tsikh for the case of a reduced complete intersection.