Matrice magique associ\'ee \`a un germe de courbe plane et division par l'id\'eal Jacobien
Abstract
In the ring of holomorphic functions at the origin of C2, 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.
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