2004/02/24 by W. Ebeling, Wolfgang Ebeling, Ebeling, W. +3
Mathematics · Physics and Astronomy · #14B05 #32S60 #58A10 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14B05 #msc:32S60 #msc:58A10
paper · pdf · doi:10.48550/arxiv.math/0402388
openalex publication_date 2004/02/24 · arxiv created 2004/03/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A notion of the radial index of an isolated singular point of a 1-form on a singular (real or complex) variety is discussed. For the differential of a function it is related to the Euler characteristic of the Milnor fibre of the function. A connection between the radial index and the local Euler obstruction of a 1-form is described. This gives an expression for the local Euler obstruction of the differential of a function in terms of Euler characteristics of some Milnor fibres.