Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\)
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 \(\mathcal{C}_2\).
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| Datum: | 2021 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2021
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1656 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543242621812736 |
|---|---|
| author | Kesten, J. Mathers, S. Normatov, Z. |
| author_facet | Kesten, J. Mathers, S. Normatov, Z. |
| author_sort | Kesten, J. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-07-19T08:39:30Z |
| description | 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 \(\mathcal{C}_2\). |
| first_indexed | 2025-12-02T15:30:28Z |
| format | Article |
| id | admjournalluguniveduua-article-1656 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:30:28Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-16562021-07-19T08:39:30Z Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) Kesten, J. Mathers, S. Normatov, Z. Calogero-Moser space, infinite transitivity 14R20, 14L30, 14J50 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 \(\mathcal{C}_2\). Lugansk National Taras Shevchenko University NSF Grant 1658672 2021-07-19 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1656 10.12958/adm1656 Algebra and Discrete Mathematics; Vol 31, No 2 (2021) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1656/pdf Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | Calogero-Moser space infinite transitivity 14R20 14L30 14J50 Kesten, J. Mathers, S. Normatov, Z. Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title | Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title_full | Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title_fullStr | Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title_full_unstemmed | Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title_short | Infinite transitivity on the Calogero-Moser space \(\mathcal{C}_2\) |
| title_sort | infinite transitivity on the calogero-moser space \(\mathcal{c}_2\) |
| topic | Calogero-Moser space infinite transitivity 14R20 14L30 14J50 |
| topic_facet | Calogero-Moser space infinite transitivity 14R20 14L30 14J50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1656 |
| work_keys_str_mv | AT kestenj infinitetransitivityonthecalogeromoserspacemathcalc2 AT matherss infinitetransitivityonthecalogeromoserspacemathcalc2 AT normatovz infinitetransitivityonthecalogeromoserspacemathcalc2 |