On The Topology Of The Newton Boundary At Infinity:dedicated To Professor Ha Huy Vui On His Sixtieth Birthday

摘要

We are interested in a global version of Le-Ramanujam μ-constant theorem from the Newton polyhedron point of view. More precisely, we prove a stability theorem which says that the global monodromy fibration of a polynomial function with Newton non-degenerate is uniquely determined by its Newton boundary at infinity. Furthermore, the continuity of atypical values for a family of complex polynomial functions also is considered.