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Infinite transitivity on the Calogero-Moser space C₂

We prove a particular case of the conjecture of Berest–Eshmatov–Eshmatov by showing that the group of unimodular automorphisms of C[x, y] acts in an infinitely-transitive way on the Calogero-Moser space C₂.

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Bibliographic Details
Main Authors: Kesten, J., Mathers, S., Normatov Z.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2021
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188709
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Description
Summary:We prove a particular case of the conjecture of Berest–Eshmatov–Eshmatov by showing that the group of unimodular automorphisms of C[x, y] acts in an infinitely-transitive way on the Calogero-Moser space C₂.