2022
DOI: 10.1080/00927872.2022.2086986
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Commutative actions on smooth projective quadrics

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Cited by 3 publications
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“…In [20] the authors obtained a generalization of the Hassett-Tschinkel correspondence for induced actions of commutative linear algebraic groups on non-degenerate quadrics with open orbit. In [20], Theorem 3, it was proved that, apart from the unique additive action from Theorem 2.25, there are only three cases: a G m -action on Q 1 , a G a × G m -action on Q 2 , and a G 2 m -action on Q 2 . At the same time, additive actions on degenerate quadrics are not unique.…”
mentioning
confidence: 99%
“…In [20] the authors obtained a generalization of the Hassett-Tschinkel correspondence for induced actions of commutative linear algebraic groups on non-degenerate quadrics with open orbit. In [20], Theorem 3, it was proved that, apart from the unique additive action from Theorem 2.25, there are only three cases: a G m -action on Q 1 , a G a × G m -action on Q 2 , and a G 2 m -action on Q 2 . At the same time, additive actions on degenerate quadrics are not unique.…”
mentioning
confidence: 99%