Details
Original language | English |
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Pages (from-to) | 177-184 |
Number of pages | 8 |
Journal | Functional Analysis and its Applications |
Volume | 51 |
Issue number | 3 |
Publication status | Published - 1 Jul 2017 |
Abstract
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In: Functional Analysis and its Applications, Vol. 51, No. 3, 01.07.2017, p. 177-184.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On equivariant indices of 1-forms on varieties
AU - Gusein-Zade, Sabir M.
AU - Mamedova, Firuza
N1 - Funding information: ?The work of the first author (Secs. 1, 2, 5, and 6) was supported by a grant of the Russian Science Foundation (project no. 16-11-10018).
PY - 2017/7/1
Y1 - 2017/7/1
N2 - Given a G-invariant holomorphic 1-form with an isolated singular point on a germ of a complex-analytic G-variety with an isolated singular point (G is a finite group), its equivariant homological index and (reduced) equivariant radial index are defined as elements of the ring of complex representations of the group. We show that these indices coincide on a germ of a smooth complex analytic G-variety. This makes it possible to consider the difference between them as a version of the equivariant Milnor number of a germ of a G-variety with an isolated singular point.
AB - Given a G-invariant holomorphic 1-form with an isolated singular point on a germ of a complex-analytic G-variety with an isolated singular point (G is a finite group), its equivariant homological index and (reduced) equivariant radial index are defined as elements of the ring of complex representations of the group. We show that these indices coincide on a germ of a smooth complex analytic G-variety. This makes it possible to consider the difference between them as a version of the equivariant Milnor number of a germ of a G-variety with an isolated singular point.
UR - http://www.scopus.com/inward/record.url?scp=85029761503&partnerID=8YFLogxK
UR - https://arxiv.org/abs/1701.01827
U2 - 10.48550/arXiv.1701.01827
DO - 10.48550/arXiv.1701.01827
M3 - Article
AN - SCOPUS:85029761503
VL - 51
SP - 177
EP - 184
JO - Functional Analysis and its Applications
JF - Functional Analysis and its Applications
SN - 0016-2663
IS - 3
ER -