Milnor number at infinity, topology and Newton boundary of a polynomial function

Authors
Bartolo, EA Luengo, I Melle-Hernandez, A
Citation
Ea. Bartolo et al., Milnor number at infinity, topology and Newton boundary of a polynomial function, MATH Z, 233(4), 2000, pp. 679-696
Citations number
32
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
233
Issue
4
Year of publication
2000
Pages
679 - 696
Database
ISI
SICI code
0025-5874(200004)233:4<679:MNAITA>2.0.ZU;2-Q
Abstract
In this paper we show that the Euler characteristic of the generic fibre of a complex polynomial function f : C-n --> C can be easily computed using t he Newton number of f. We apply this result to study polynomials with a fin ite number of critical points. Mathematics Subject Classification (1991): 1 4F45, 14D25, 32S15, 32S60.