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

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

2004-02-24

arxiv.org/abs/math/0402388v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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