Th�or�me de Merle: cas des 1-formes de type courbes g�n�ralis�es

DOI10.1007/BF01239008zbMath0951.32021OpenAlexW395531788MaRDI QIDQ4950752

Patrick Rouillé

Publication date: 3 January 2001

Published in: [https://portal.mardi4nfdi.de/entity/Q2710393 Boletim da Sociedade Brasileira de Matem�tica] (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01239008

zbMATH Keywords

Newton polygonholomorphic 1-formsseparatrixpolar curves

Mathematics Subject Classification ID

Equisingularity (topological and analytic) (32S15) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items

Determination of the polar equisingularity type ⋮ About the topology of polar curves of some singular foliations ⋮ Lenses on very curved zones of a singular foliation of \(\mathbb{C}^2\) ⋮ Weierstrass 1-forms and nondicritical generalized curve foliations ⋮ Infinitesimal adjunction and polar curves ⋮ Infinitesimal initial part of a singular foliation ⋮ Local polar invariants for plane singular foliations

Cites Work

• On the singularities of polar curves
• Topological invariants and equidesingularization for holomorphic vector fields
• Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
• An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
• Invariants polaires des courbes planes
• On analytic function germs of two complex variables
• Reduction of Singularities of the Differential Equation Ady = Bdx
• Unnamed Item