|
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2018, Number 5, Pages 60–63
(Mi vmumm575)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
Short notes
Simplest singular points of $1$-forms invariant with respect to actions of a third-order group
F. I. Mamedova Gottfried Wilhelm Leibniz Universität Hannover
Abstract:
We classify singular points which cannot be excluded by deformations of $1$-forms invariant with respect to an action of a cyclic group of order $3$. It is proved that for $\mathbb{Z}_3$-invariant $1$-forms the equivariant index of a singular point as an element of the representation ring of the group coincides with the class of the representation on the space of germs of the highest order forms factorized by the subspace of forms divisible by the given $1$-form.
Key words:
1-forms, group actions, equivariant deformations.
Received: 13.09.2017
Citation:
F. I. Mamedova, “Simplest singular points of $1$-forms invariant with respect to actions of a third-order group”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, no. 5, 60–63; Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 73:5 (2018), 199–202
Linking options:
https://www.mathnet.ru/eng/vmumm575 https://www.mathnet.ru/eng/vmumm/y2018/i5/p60
|
Statistics & downloads: |
Abstract page: | 108 | Full-text PDF : | 18 | References: | 17 | First page: | 3 |
|