Open Access
October, 2008 On the topology of the Newton boundary at infinity
Tien Son PHAM
J. Math. Soc. Japan 60(4): 1065-1081 (October, 2008). DOI: 10.2969/jmsj/06041065


We are interested in a global version of Lê-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.


Download Citation

Tien Son PHAM. "On the topology of the Newton boundary at infinity." J. Math. Soc. Japan 60 (4) 1065 - 1081, October, 2008.


Published: October, 2008
First available in Project Euclid: 5 November 2008

zbMATH: 1159.32016
MathSciNet: MR2467870
Digital Object Identifier: 10.2969/jmsj/06041065

Primary: 32S20
Secondary: 32S15 , 32S30

Keywords: family of polynomials , global monodromy fibration , Newton polyhedron , non-degeneracy condition

Rights: Copyright © 2008 Mathematical Society of Japan

Vol.60 • No. 4 • October, 2008
Back to Top