Artículos de revistas
EQUIVALENCE OF REAL MILNOR FIBRATIONS FOR QUASI-HOMOGENEOUS SINGULARITIES
Fecha
2012Registro en:
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, TEMPE, v. 42, n. 2, pp. 439-449, 2012
0035-7596
10.1216/RMJ-2012-42-2-439
Autor
Santos, Raimundo Nonato Araújo dos
Institución
Resumen
We show that for real quasi-homogeneous singularities f : (R-m, 0) -> (R-2, 0) with isolated singular point at the origin, the projection map of the Milnor fibration S-epsilon(m-1) \ K-epsilon -> S-1 is given by f/parallel to f parallel to. Moreover, for these singularities the two versions of the Milnor fibration, on the sphere and on a Milnor tube, are equivalent. In order to prove this, we show that the flow of the Euler vector field plays and important role. In addition, we present, in an easy way, a characterization of the critical points of the projection (f/parallel to f parallel to) : S-epsilon(m-1) \ K-epsilon -> S-1.