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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2021 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188709 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Infinite transitivity on the Calogero-Moser space C₂ / J. Kesten, S. Mathers, Z. Normatov // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 227–250. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862725395260899328 |
|---|---|
| author | Kesten, J. Mathers, S. Normatov Z. |
| author_facet | Kesten, J. Mathers, S. Normatov Z. |
| citation_txt | Infinite transitivity on the Calogero-Moser space C₂ / J. Kesten, S. Mathers, Z. Normatov // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 227–250. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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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| first_indexed | 2025-12-07T18:52:03Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188709 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:52:03Z |
| publishDate | 2021 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kesten, J. Mathers, S. Normatov Z. 2023-03-11T16:07:18Z 2023-03-11T16:07:18Z 2021 Infinite transitivity on the Calogero-Moser space C₂ / J. Kesten, S. Mathers, Z. Normatov // Algebra and Discrete Mathematics. — 2021. — Vol. 31, № 2. — С. 227–250. — Бібліогр.: 5 назв. — англ. 1726-3255 DOI:10.12958/adm1656 2020 MSC: 14R20, 14L30, 14J50. https://nasplib.isofts.kiev.ua/handle/123456789/188709 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. The authors are indebted to Farkhod Eshmatov for proposing this problem and giving invaluable suggestions and would like to thank the International Research Experience for Undergraduates, organized through UC Fullerton and the Uzbekistan Academy of Sciences, for making the collaboration and project possible. Kesten and Mathers were supported by NSF Grant 1658672. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Infinite transitivity on the Calogero-Moser space C₂ Article published earlier |
| spellingShingle | Infinite transitivity on the Calogero-Moser space C₂ Kesten, J. Mathers, S. Normatov Z. |
| title | Infinite transitivity on the Calogero-Moser space C₂ |
| title_full | Infinite transitivity on the Calogero-Moser space C₂ |
| title_fullStr | Infinite transitivity on the Calogero-Moser space C₂ |
| title_full_unstemmed | Infinite transitivity on the Calogero-Moser space C₂ |
| title_short | Infinite transitivity on the Calogero-Moser space C₂ |
| title_sort | infinite transitivity on the calogero-moser space c₂ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188709 |
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