Open AccessMilnor number at infinity, topology and Newton boundary of a polynomial function
Author(s) -
Enrique Artal Bartolo,
I. Luengo,
A. Melle–Hernàndez
Publication year - 2000
Publication title -
mathematische zeitschrift
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.38
H-Index - 66
eISSN - 1432-1823
pISSN - 0025-5874
DOI - 10.1007/s002090050493
Subject(s) - mathematics , infinity , polynomial , boundary (topology) , euler's formula , euler characteristic , function (biology) , topology (electrical circuits) , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , evolutionary biology , biology
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 the Newton number of f. We apply this result to study polynomials with a finite number of critical points
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