TOPOLOGICAL TYPES OF POLYNOMIALS OF 2 COM PLEX-VARIABLES AT INFINITY

We give a complete system of invariants for the topological conjugacy of polynomials of C-2 outside a big enough compact set in the two poss ible versions : as foliations (forgetting the values of the fibers) an d as functions. These invariants are described as a weighted and color ed tree, that is obtained after reduction of singularities of the poly nomial in the line of infinity. We give a regularity criteria for the values of a polynomial and a description of the topology of its fibers used in the construction of the topological conjugacy from the tree.