Radial index and Euler obstruction of a 1-form on a singular variety

DOI10.1007/s10711-005-2184-1zbMath1110.14004arXivmath/0402388OpenAlexW1976017026MaRDI QIDQ2572556

Sabir M. Gusein-Zade, Wolfgang Ebeling

Publication date: 10 November 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402388

zbMATH Keywords

singular pointsindexsingular varieties1-formsEuler obstruction

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Differential forms in global analysis (58A10) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Related Items (18)

A generalization of Milnor's formula ⋮ Characteristic Classes ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ The local Euler obstruction and topology of the stabilization of associated determinantal varieties ⋮ The geometrical information encoded by the Euler obstruction of a map ⋮ Index of a singular point of a vector field or of a 1-form on an orbifold ⋮ An equivariant version of the Euler obstruction ⋮ On indices of 1-forms on determinantal singularities ⋮ Some notes on the Euler obstruction of a function ⋮ Euler obstruction, Brasselet number and critical points ⋮ Topology of functions with non-isolated stratified critical points ⋮ On equivariant indices of 1-forms on varieties ⋮ Characteristic cycles and the relative local Euler obstruction ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Radial index and Poincaré–Hopf index of 1-forms on semi-analytic sets ⋮ The index of a 1-form on a real quotient singularity ⋮ Remarks on the Topology of Real and Complex Analytic Map-Germs ⋮ Equivariant indices of vector fields and 1-forms

Cites Work

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• Euler obstruction and indices of vector fields
• A residue formula for the index of a holomorphic flow
• The index of a holomorphic flow with an isolated singularity
• HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES
• EULER OBSTRUCTION AND DEFECTS OF FUNCTIONS ON SINGULAR VARIETIES
• A general intersection formula for Lagrangian cycles
• On the index of a vector field at an isolated singularity
• THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS

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