Fold singularities of the maps associated with Milnor fibration for mixed polynomials

2012/11/25 by Sumida, Daiki
#32S05 (Primary) #32S25 (Secondary) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1211.5715

Abstract

Milnor fibrations were extended by Mutsuo Oka for certain mixed polynomial. In this paper, we study singular points of differentiable maps into the 2-dimensional torus, called Milnor fibration product maps, obtained by several Milnor fibrations for mixed polynomial. We give a characterization of singular points of such product maps, and for the case of certain polar weighted homogeneous polynomials, a criterion for a fold singular point.

Related

• The singularities of the maps associated with Milnor fibrations
• Results on Milnor Fibrations for mixed polynomials with non-isolated singularities
• Topology of the Milnor fibrations of polar weighted homogeneous polynomials
• Milnor fibration at infinity for mixed polynomials
• On Milnor fibrations of mixed functions, a_f-condition and boundary stability