Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\)

J. Kesten, S. Mathers, Z. Normatov

Abstract


We prove a particular case of the conjecture of Berest--Eshmatov--Eshmatov by showing that the group of unimodular automorphisms of \(\mathbb{C}[ x,y]\) acts in an infinitely-transitive way on the Calogero-Moser space \(\mathcal{C}_2\).


Keywords


Calogero-Moser space, infinite transitivity

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DOI: http://dx.doi.org/10.12958/adm1656

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