On equivariant indices of 1-forms on varieties

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

Authors

  • Sabir M. Gusein-Zade
  • Firuza Mamedova

Research Organisations

External Research Organisations

  • Lomonosov Moscow State University
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Details

Original languageEnglish
Pages (from-to)177-184
Number of pages8
JournalFunctional Analysis and its Applications
Volume51
Issue number3
Publication statusPublished - 1 Jul 2017

Abstract

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.

Cite this

On equivariant indices of 1-forms on varieties. / Gusein-Zade, Sabir M.; Mamedova, Firuza.
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

Gusein-Zade SM, Mamedova F. On equivariant indices of 1-forms on varieties. Functional Analysis and its Applications. 2017 Jul 1;51(3):177-184. doi: 10.48550/arXiv.1701.01827, 10.1007/s10688-017-0182-3
Gusein-Zade, Sabir M. ; Mamedova, Firuza. / On equivariant indices of 1-forms on varieties. In: Functional Analysis and its Applications. 2017 ; Vol. 51, No. 3. pp. 177-184.
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