TY - JOUR

T1 - An equivariant version of the Euler obstruction

AU - Ebeling, Wolfgang

AU - Gusein-Zade, Sabir M.

N1 - Funding information: Partially supported by DFG (Mercator fellowship, Eb 102/8-1) and RFBR–16-01-00409.

PY - 2017/6/1

Y1 - 2017/6/1

N2 - 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.

AB - 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.

KW - Burnside ring

KW - Euler obstruction

KW - Group action

UR - http://www.scopus.com/inward/record.url?scp=84996910399&partnerID=8YFLogxK

UR - https://arxiv.org/abs/1407.6587

U2 - 10.1007/s00574-016-0022-8

DO - 10.1007/s00574-016-0022-8

M3 - Article

AN - SCOPUS:84996910399

VL - 48

SP - 199

EP - 208

JO - Bulletin of the Brazilian Mathematical Society

JF - Bulletin of the Brazilian Mathematical Society

SN - 1678-7544

IS - 2

ER -