On the topology of the Newton boundary at infinity



Journal of the Mathematical Society of Japan

On the topology of the Newton boundary at infinity

Tien Son PHAM

Source: J. Math. Soc. Japan Volume 60, Number 4 (2008), 1065-1081.

Abstract

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.

Primary Subjects: 32S20
Secondary Subjects: 32S15, 32S30
Keywords: global monodromy fibration; family of polynomials; Newton polyhedron; non-degeneracy condition

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1225894033
Digital Object Identifier: doi:10.2969/jmsj/06041065


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