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

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University

Details

Original languageEnglish
Pages (from-to)231-241
Number of pages11
JournalGEOMETRIAE DEDICATA
Volume113
Issue number1
Publication statusPublished - 1 Jun 2005

Abstract

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.

Keywords

    1-forms, Euler obstruction, Index, Singular points, Singular varieties

Cite this

Radial index and Euler obstruction of a 1-form on a singular variety. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
In: GEOMETRIAE DEDICATA, Vol. 113, No. 1, 01.06.2005, p. 231-241.

Research output: Contribution to journal › Article › Research › peer review

Ebeling W, Gusein-Zade SM. Radial index and Euler obstruction of a 1-form on a singular variety. GEOMETRIAE DEDICATA. 2005 Jun 1;113(1):231-241. doi: 10.1007/s10711-005-2184-1
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / Radial index and Euler obstruction of a 1-form on a singular variety. In: GEOMETRIAE DEDICATA. 2005 ; Vol. 113, No. 1. pp. 231-241.
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