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- W4313305451 abstract "We survey recent results on multiple transitivity of automorphism groups of affine algebraic varieties. We consider the property of infinite transitivity of the special automorphism group, which is equivalent to flexibility of the corresponding affine variety. These properties have important algebraic and geometric consequences. At the same time they are fulfilled for wide classes of varieties. Also we study situations where infinite transitivity takes place for automorphism groups generated by finitely many one-parameter subgroups. In the appendices to the paper, the results on infinitely transitive actions in complex analysis and in combinatorial group theory are discussed." @default.
- W4313305451 created "2023-01-06" @default.
- W4313305451 creator A5040660571 @default.
- W4313305451 date "2022-12-27" @default.
- W4313305451 modified "2023-09-23" @default.
- W4313305451 title "Automorphisms of algebraic varieties and infinite transitivity" @default.
- W4313305451 doi "https://doi.org/10.48550/arxiv.2212.13616" @default.
- W4313305451 hasPublicationYear "2022" @default.
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