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Erschienen in:
2017 | OriginalPaper | Buchkapitel
Classification of Isolated Polar Weighted Homogeneous Singularities
verfasst von : José Luis Cisneros-Molina, Agustín Romano-Velázquez
Erschienen in: Singularities in Geometry, Topology, Foliations and Dynamics
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Polar weighted homogeneous polynomials are real analytic maps which generalize complex weighted homogeneous polynomials. In this article we give classes of mixed polynomials in three variables which generalize Orlik and Wagreich classes of complex weighted homogeneous polynomials. We give explicit conditions for this classes to be polar weighted homogeneous polynomials with isolated critical point. We prove that under small perturbation of their coe_cients they remain with isolated critical point and the diffeomorphism type of their link does not change.