Quadratic vanishing cycles, reduction curves and reduction of the monodromy group of plane curve singularities

DOI10.2748/tmj/1113247799zbMath1065.14031arXivmath/0006124OpenAlexW2089965250MaRDI QIDQ1598956

Norbert A'Campo

Publication date: 30 June 2002

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006124

Mathematics Subject Classification ID

Plane and space curves (14H50) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Complex surface and hypersurface singularities (32S25) Singularities of curves, local rings (14H20)

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Cites Work

• Intersection matrices for certain singularities of functions of two variables
• Le groupe de monodromie du déploiement des singularités isolées de courbes planes. I
• Real deformations and complex topology of plane curve singularities
• Generic immersions of curves, knots, monodromy and Gordian number
• Geometric monodromy groups of simple singularities
• Artin groups and geometric monodromy
• A presentation of mapping class groups in terms of Artin groups and geometric monodromy of singularities
• L'équivalence d'une fonction différentiable et d'un polynôme
• Monodromy of isolated singularities of hypersurfaces
• Un théorème de Zariski du type de Lefschetz
• Singular Points of Complex Hypersurfaces. (AM-61)
• Sur la monodromie des singularites isolees d'hypersurfaces complexes
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