Matrice magique associée à un germe de courbe plane et division par l'idéal Jacobien
arXiv:0708.0990
Abstract
In the ring of holomorphic functions at the origin of C^2, we consider the equation uf'_x+vf'_y=wf where f and w are given. We introduce intersection multiplicities relative to w and f'_y along the branches of f, and we study the solutions (u,v) using these valuations. As an application, we construct an explicit functional equation satisfied by f.
Prépublication mathématique n^o;716 du Laboratoire Jean-Alexandre Dieudonné (Univ. de Nice-Sophia Antipolis)