Remarks on the Milnor fibration at infinity

The aim of this paper is to continue the study started in [10] and to give a topological description of the Milnor fibre at infinity. As an application, we show that the links at infinity of some hypersurfaces diffeomorphic to affine spaces C k , given in [3], are knotted spheres. In the last Section of this paper we give examples which show that the property of being M-tame depends on the algebraic coordinate system of C n , when n≥ 4.