RT Journal Article
T1 On the topology of a generic fibre of a polynomial function
A1 Artal Bartolo, Enrique
A1 Luengo Velasco, Ignacio
A1 Melle Hernández, Alejandro
AB In this work we study the topologies of the fibres of some families of complex polynomial functions with isolated critical points. We consider polynomials with some transversality conditions at infinity and compute explicitly its global Milnor number μ(f). the invariant λ(f) and therefore the Euler characteristic of its generic fibre. We show that under some mild ransversality condition (transversal at infinity) the behavior of f at infinity is good and the topology of the generic fibre is determined by the two homogeneous parts of higher degree of f Finally we study families of polynomials, called two-term polynomials. This polynomials may have atypical values at infinity. Given such a two-term polynomial f we characterize its atypical values by some invariants of f. These polynomials are a source of interesting examples.
PB Taylor & Francis
SN 0092-7872
YR 2000
FD 2000
LK https://hdl.handle.net/20.500.14352/57603
UL https://hdl.handle.net/20.500.14352/57603
DS Docta Complutense
RD 6 abr 2025