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Real Milnor Fibrations and (C)-Regularity

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Abstract.

In this paper we study Milnor fibrations associated to real isolated singularities defined by map-germs f: (ℝm,0)→(ℝ2,0). The main result relates the existence of the Milnor fibration with the (C)-regularity of the family of hypersurfaces with isolated singularity obtained by projecting f into the family L− θ of all lines through the origin in the plane ℝ2.

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  1. Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, Av. Trabalhador São-Carlense, 400-Centro-Cx. Postal 668, São Carlos, São Paulo, CEP, 13560-970, Brazil

    Maria Aparecida Soares Ruas & Raimundo Nonato Araújo dos Santos

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  1. Maria Aparecida Soares Ruas
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  2. Raimundo Nonato Araújo dos Santos
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Correspondence to Maria Aparecida Soares Ruas.

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Ruas, M., dos Santos, R. Real Milnor Fibrations and (C)-Regularity. manuscripta math. 117, 207–218 (2005). https://doi.org/10.1007/s00229-005-0555-4

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  • DOI: https://doi.org/10.1007/s00229-005-0555-4

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