Classification of Isolated Polar Weighted Homogeneous Singularities

Autor:	José Luis Cisneros-Molina, Agustín Romano-Velázquez
Rok vydání:	2017
Předmět:	Pure mathematics Homogeneous Polar Perturbation (astronomy) Gravitational singularity Diffeomorphism Critical point (mathematics) Mathematics
Zdroj:	Trends in Mathematics ISBN: 9783319393384
DOI:	10.1007/978-3-319-39339-1_5
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::e9baefadcc7f35f2032ecdd48c40ca5c https://doi.org/10.1007/978-3-319-39339-1_5 Zobrazit plný text záznamu