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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Infinite transitivity for Calogero-Moser spaces
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by Karine Kuyumzhiyan PDF
Proc. Amer. Math. Soc. 148 (2020), 3723-3731 Request permission

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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Additional 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