Moduli spaces of a family of topologically non quasi-homogeneous functions
Loubani, Jinan (Université Paul Sabatier. Institut de Mathématiques de Toulouse)

Fecha:	2019
Resumen:	We consider a topological class of a germ of complex analytic function in two variables which does not belong to its jacobian ideal. Such a function is not quasi homogeneous. Each element f in this class induces a germ of foliation (df = 0). Proceeding similarly to the homogeneous case [2] and the quasi homogeneous case [3] treated by Genzmer and Paul, we describe the local moduli space of the foliations in this class and give analytic normal forms. We prove also the uniqueness of these normal forms.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Complex foliations ; Singularities
Publicado en:	Publicacions matemàtiques, Vol. 63 Núm. 1 (2019) , p. 81-104 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/347131
DOI: 10.5565/PUBLMAT6311902

24 p, 427.4 KB

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