Discriminant of a germ \((g,f): (\mathbb{C}^2,0)\to (\mathbb{C}^2,0)\) and contact quotients in the resolution of \(f\cdot g\)

DOI10.5802/afst.908zbMath0936.32012OpenAlexW2313887638MaRDI QIDQ1284683

Hélène Maugendre

Publication date: 26 May 1999

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AFST_1998_6_7_3_497_0

zbMATH Keywords

polar quotientsJacobian quotients

Mathematics Subject Classification ID

Related Items (8)

Fibrations associated with a pencil of plane curves ⋮ Eggers tree and Jacobian Newton polygon ⋮ Initial Newton polynomial of the discriminant ⋮ Determining plane curve singularities from its polars ⋮ REAL ANALYTIC GERMS $f \bar{g}$ AND OPEN-BOOK DECOMPOSITIONS OF THE 3-SPHERE ⋮ Topological invariants of higher order for a pair of plane curve germs ⋮ Characterization of Jacobian Newton polygons of plane branches and new criteria of irreducibility ⋮ On the growth behaviour of Hironaka quotients

Cites Work

• Topological types of complex isolated hypersurface singularities
• Calcul du nombre de cycles evanouissants d'une hypersurface complexe
• Eine Klasse von 3-dimensionalen Mannigfaltigkeiten. I, II
• Seifert fibered spaces in 3-manifolds
• Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110)
• Courbes polaires et topologie des courbes planes
• Discriminant of a Germ Φ: (C² , 0)→(C² , 0) and Seifert Fibred Manifolds
• Singular Points of Complex Hypersurfaces. (AM-61)
• General Theory of Saturation and of Saturated Local Rings II: Saturated Local Rings of Dimension 1
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