Lê-Greuel type formula for the Euler obstruction and applications

DOI10.1016/j.aim.2013.10.023zbMath1291.14009arXiv1109.5802OpenAlexW2963137566MaRDI QIDQ2445371

Nicolas Dutertre, Nivaldo de Góes Grulha Júnior

Publication date: 14 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5802

zbMATH Keywords

Euler obstructionconstructible function

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Topology of analytic spaces (32C18) Singularities of vector fields, topological aspects (58K45)

Related Items (max. 100)

Characteristic Classes ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ Euler obstruction and Lipschitz-Killing curvatures ⋮ The geometrical information encoded by the Euler obstruction of a map ⋮ The Euler obstruction of a function on a determinantal variety and on a curve ⋮ Euler obstruction, Brasselet number and critical points ⋮ About relative polar varieties and Brasselet numbers ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function ⋮ Brasselet number and function-germs with a one-dimensional critical set ⋮ Global Euler obstruction, global Brasselet numbers and critical points ⋮ Brasselet number and Newton polygons ⋮ An implementation of the Lê-Teissier method for computing local Euler obstructions ⋮ Remarks on the Topology of Real and Complex Analytic Map-Germs ⋮ Milnor’s Fibration Theorem for Real and Complex Singularities ⋮ On the topology of real analytic maps

Cites Work

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• Index formula for MacPherson cycles of affine algebraic varieties
• Formules intégrales pour certains invariants locaux des espaces analytiques complexes
• Courbure et singularites complexes
• Griffiths' integral formula for the Milnor number
• Variétés polaires locales et classes de Chern des variétés singulieres
• Chern classes for singular algebraic varieties
• Euler obstruction and indices of vector fields
• Der Gauß-Manin-Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten
• Bouquet decomposition of the Milnor fibre
• Hypercohomology of Milnor fibres
• Lokale topologische Eigenschaften komplexer Räume
• Milnor numbers and Euler obstruction
• Sur la condition de Thom stricte pour un morphisme analytique complexe
• EULER OBSTRUCTION AND DEFECTS OF FUNCTIONS ON SINGULAR VARIETIES
• The Milnor number of a function on a space curve germ
• Singular Points of Complex Hypersurfaces. (AM-61)

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