The geometrical information encoded by the Euler obstruction of a map

DOI10.1142/S0129167X2250029XzbMath1486.14011arXiv2009.06388OpenAlexW3086651839WikidataQ114073223 ScholiaQ114073223MaRDI QIDQ5068530

Camila M. Ruiz, Hellen Santana, Nivaldo de Góes Grulha Júnior

Publication date: 6 April 2022

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.06388

zbMATH Keywords

perturbationstabilizationChern numbersEuler obstructionBrasselet numberLê-Iomdine formula

Mathematics Subject Classification ID

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

Cites Work

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• The local Euler obstruction of a function
• Variétés polaires locales et classes de Chern des variétés singulieres
• Chern classes for singular algebraic varieties
• Complex surfaces with a one-dimensional set of singularities
• Euler obstruction and indices of vector fields
• Equisingularity of map germs from a surface to the plane
• Hypercohomology of Milnor fibres
• The index of a holomorphic flow with an isolated singularity
• Lê-Greuel type formula for the Euler obstruction and applications
• Radial index and Euler obstruction of a 1-form on a singular variety
• Milnor numbers and Euler obstruction
• Some notes on the Euler obstruction of a function
• The Euler obstruction and the Chern obstruction
• Numerical control over complex analytic singularities
• EULER OBSTRUCTION AND DEFECTS OF FUNCTIONS ON SINGULAR VARIETIES
• Indices of Vector Fields or 1-Forms and Characteristic Numbers

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