Uniform (m)-condition and Strong Milnor fibrations

R. Araújo dos Santos

doi:10.1090/conm/475

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arXiv · 0802.2741

Uniform (m)-condition and Strong Milnor fibrations

R. Araújo dos Santos

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Abstract

In this paper we study the Milnor fibrations associated to real analytic map germs $ψ:(\mathbb{R}^{m},0) \to (\mathbb{R}^2,0)$ with isolated critical point at $0\in \mathbb{R}^{m}$. The main result relates the existence of called Strong Milnor fibrations with a transversality condition of a convenient family of analytic varieties with isolated critical points at the origin $0\in \mathbb{R}^{m}$, obtained by projecting the map germ $ψ$ in the family $L_{-θ}$ of all lines through the origin in the plane $\mathbb R^{2}.$

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R. Araújo dos Santos. 2008-02-20. Uniform (m)-condition and Strong Milnor fibrations. https://doi.org/10.1090/conm%2F475

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