We are interested in a global version of Lê-Ramanujam $\mu$
-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.
Publié le : 2008-10-15
Classification:
global monodromy fibration,
family of polynomials,
Newton polyhedron,
non-degeneracy condition,
32S20,
32S15,
32S30
@article{1225894033,
author = {PHAM, Tien Son},
title = {On the topology of the Newton boundary at infinity},
journal = {J. Math. Soc. Japan},
volume = {60},
number = {1},
year = {2008},
pages = { 1065-1081},
language = {en},
url = {http://dml.mathdoc.fr/item/1225894033}
}
PHAM, Tien Son. On the topology of the Newton boundary at infinity. J. Math. Soc. Japan, Tome 60 (2008) no. 1, pp. 1065-1081. http://gdmltest.u-ga.fr/item/1225894033/