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Commutative actions on smooth projective quadricsстатья
- Авторы: Borovik Viktoriia, Gaifullin Sergey, Trushin Anton
- Журнал: Communications in Algebra
- Том: 50
- Номер: 12
- Год издания: 2022
- Издательство: Marcel Dekker Inc.
- Местоположение издательства: United States
- Первая страница: 5468
- Последняя страница: 5476
- DOI: 10.1080/00927872.2022.2086986
- Аннотация: By a commutative action on a smooth quadric Q_n in P^{n+1}, we mean an effective action of a commutative connected algebraic group on Qn with an open orbit. We show that for n≥3 all commutative actions on Qn are additive actions described by Sharoiko in 2009. So there is a unique commutative action on Qn up to equivalence. For n = 2 there are three commutative actions on Q2 up to equivalence, for n = 1 there are two commutative actions on Q1 up to equivalence.
- Добавил в систему: Гайфуллин Сергей Александрович