On the topology of the Newton boundary at infinity

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 b...

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Veröffentlicht in:	Journal of the Mathematical Society of Japan 2008-10, Vol.60 (4), p.1065-1081
1. Verfasser:	PHAM, Tien Son
Format:	Artikel
Sprache:	eng
Schlagworte:	32S15 32S20 32S30 family of polynomials global monodromy fibration Newton polyhedron non-degeneracy condition
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description	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.
doi_str_mv	10.2969/jmsj/06041065
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source	Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals
subjects	32S15 32S20 32S30 family of polynomials global monodromy fibration Newton polyhedron non-degeneracy condition
title	On the topology of the Newton boundary at infinity
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