Orbits of actions of group superschemes Научная публикация
| Журнал |
Journal of Pure and Applied Algebra
ISSN: 0022-4049 |
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| Вых. Данные | Год: 2023, Том: 227, Номер: 11, Номер статьи : 107404, Страниц : 17 DOI: 10.1016/j.jpaa.2023.107404 | ||||
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Информация о финансировании (1)
| 1 | Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН». | FWNF-2022-0003 |
Реферат:
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.
Библиографическая ссылка:
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
Даты:
| Поступила в редакцию: | 3 мар. 2022 г. |
| Опубликована online: | 7 апр. 2023 г. |
| Опубликована в печати: | 19 апр. 2023 г. |
Идентификаторы БД:
| Web of science: | WOS:000983594600001 |
| Scopus: | 2-s2.0-85152711978 |
| РИНЦ: | 61790266 |
| OpenAlex: | W4362660533 |