arXiv subjects

Daiki Sumida

Publications and source records attributed to Daiki Sumida.

2 recordsLinked to original sources

arXiv2012

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

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.

math.GT↗

arXiv2012

The singularities of the maps associated with Milnor fibrations

Milnor fibrations have been studied since 1960's. In this paper, we study singular points of differentiable maps, called Milnor fibration product maps, obtained by several Milnor fibrations. We give a characterization of singular points of such product maps, and for the case of certain weighted homogeneous polynomials, a criterion for a fold point together with its index.

math.GT↗