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Título del libro: Singularities In Geometry, Topology, Foliations And Dynamics: A Celebration Of The 60th Birthday Of Jose Seade
Título del capítulo: Classification of Isolated Polar Weighted Homogeneous Singularities

Autores UNAM:
JOSE LUIS CISNEROS MOLINA; JOSE LUIS CISNEROS MOLINA; JAWAD SNOUSSI;
Autores externos:

Idioma:

Año de publicación:
2017
Palabras clave:

Polar weighted homogeneous polynomials; Orlik and Wagreich classes


Resumen:

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 coefficients they remain with isolated critical point and the diffeomorphism type of their link does not change.


Entidades citadas de la UNAM: