An equivariant version of the Euler obstruction

2014/07/24 by Ebeling, Wolfgang, Gusein-Zade, Sabir M.
#19A22 #32S05 #58A10 #58E40 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1407.6587

Abstract

For a complex analytic variety with an action of a finite group and for an invariant 1-form on it, we give an equivariant version (with values in the Burnside ring of the group) of the local Euler obstruction of the 1-form and describe its relation with the equivariant radial index defined earlier. This leads to equivariant versions of the local Euler obstruction of a complex analytic space and of the global Euler obstruction.

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