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

Daiki Sumida

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arXiv · 1211.5715

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

Daiki Sumida

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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.

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Daiki Sumida. 2012-11-25. Fold singularities of the maps associated with Milnor fibration for mixed polynomials. https://arxiv.org/abs/1211.5715

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