Details
Original language | English |
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Pages (from-to) | 199-208 |
Number of pages | 10 |
Journal | Bulletin of the Brazilian Mathematical Society |
Volume | 48 |
Issue number | 2 |
Publication status | Published - 1 Jun 2017 |
Abstract
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In: Bulletin of the Brazilian Mathematical Society, Vol. 48, No. 2, 01.06.2017, p. 199-208.
Research output: Contribution to journal › Article › Research › peer review
}
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 -