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Algebra and Discrete Mathematics, 2021, Volume 31, Issue 2, Pages 227–250
DOI: https://doi.org/10.12958/adm1656 (Mi adm798) 		 
This article is cited in 2 scientific papers (total in 2 papers)

RESEARCH ARTICLE

Infinite transitivity on the Calogero–Moser space $\mathcal{C}_2$

J. Kestena, S. Mathersb, Z. Normatovc

a Department of Mathematics, Rice University, Houston, TX, 77005, USA
b Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA
c V.~I.~Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, 100170, Uzbekistan
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DOI: https://doi.org/10.12958/adm1656
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.
Funding agency Grant number
National Science Foundation 1658672
J. Kesten and S. Mathers were supported by NSF Grant 1658672.
Received: 26.06.2020
Revised: 05.12.2020
Document Type: Article
MSC: 14R20, 14L30, 14J50
Language: English
Citation: J. Kesten, S. Mathers, Z. Normatov, “Infinite transitivity on the Calogero–Moser space $\mathcal{C}_2$”, Algebra Discrete Math., 31:2 (2021), 227–250
Citation in format AMSBIB
\Bibitem{KesMatNor21}
\by J.~Kesten, S.~Mathers, Z.~Normatov
\paper Infinite transitivity on the Calogero--Moser space~$\mathcal{C}_2$
\jour Algebra Discrete Math.
\yr 2021
\vol 31
\issue 2
\pages 227--250
\mathnet{http://mi.mathnet.ru/adm798}
\crossref{https://doi.org/10.12958/adm1656}
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    		Algebra and Discrete Mathematics
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