TY - JOUR

T1 - Radial index and Euler obstruction of a 1-form on a singular variety

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

N1 - Funding information: Partially supported by the DFG-programme “Global methods in complex geometry” (Eb 102/4–2), grants RFBR–04–01–00762, NSh–1972.2003.1.

PY - 2005/6/1

Y1 - 2005/6/1

N2 - 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.

AB - 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.

KW - 1-forms

KW - Euler obstruction

KW - Index

KW - Singular points

KW - Singular varieties

UR - http://www.scopus.com/inward/record.url?scp=25444477596&partnerID=8YFLogxK

U2 - 10.1007/s10711-005-2184-1

DO - 10.1007/s10711-005-2184-1

M3 - Article

AN - SCOPUS:25444477596

VL - 113

SP - 231

EP - 241

JO - GEOMETRIAE DEDICATA

JF - GEOMETRIAE DEDICATA

SN - 0046-5755

IS - 1

ER -