Orbits of actions of group superschemes Full article
| Journal |
Journal of Pure and Applied Algebra
ISSN: 0022-4049 |
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| Output data | Year: 2023, Volume: 227, Number: 11, Article number : 107404, Pages count : 17 DOI: 10.1016/j.jpaa.2023.107404 | ||||
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| Affiliations |
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Funding (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Abstract:
Working over an algebraically closed field, we prove that all orbits of a left action of an algebraic group superscheme G on a superscheme X of finite type are locally closed. Moreover, such an orbit Gx, where x is a k-point of X, is closed if and only if is closed in , or equivalently, if and only if is closed in . Here is the largest purely even group super-subscheme of G and is regarded as a group scheme. Similarly, is the largest purely even super-subscheme of X and is regarded as a scheme. We also prove that , where is the stabilizer of x.
Cite:
Bovdi V.A.
, Zubkov A.N.
Orbits of actions of group superschemes
Journal of Pure and Applied Algebra. 2023. V.227. N11. 107404 :1-17. DOI: 10.1016/j.jpaa.2023.107404 WOS Scopus РИНЦ OpenAlex
Orbits of actions of group superschemes
Journal of Pure and Applied Algebra. 2023. V.227. N11. 107404 :1-17. DOI: 10.1016/j.jpaa.2023.107404 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Mar 3, 2022 |
| Published online: | Apr 7, 2023 |
| Published print: | Apr 19, 2023 |
Identifiers:
| Web of science: | WOS:000983594600001 |
| Scopus: | 2-s2.0-85152711978 |
| Elibrary: | 61790266 |
| OpenAlex: | W4362660533 |