Infinite transitivity for Calogero-Moser spaces
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- by Karine Kuyumzhiyan
- Proc. Amer. Math. Soc. 148 (2020), 3723-3731
- DOI: https://doi.org/10.1090/proc/15030
- Published electronically: June 8, 2020
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Abstract:
We prove the conjecture of Berest-Eshmatov-Eshmatov by showing that the group of automorphisms of a product of Calogero-Moser spaces $\mathcal {C}_{n_i}$, where the $n_i$ are pairwise distinct, acts $m$-transitively for each $m$.References
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Bibliographic Information
- Karine Kuyumzhiyan
- Affiliation: National Research University Higher School of Economics, Usacheva 6, Moscow, Russia
- MR Author ID: 886141
- Email: karina@mccme.ru
- Received by editor(s): December 27, 2018
- Received by editor(s) in revised form: December 6, 2019
- Published electronically: June 8, 2020
- Additional Notes: The study was funded by the Russian Academic Excellence Project “5-100”
- Communicated by: Rachel Pries
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 3723-3731
- MSC (2010): Primary 14R20; Secondary 14L30, 14J50
- DOI: https://doi.org/10.1090/proc/15030
- MathSciNet review: 4127820