Birational Equivalences and Generalized Weyl Algebras
We calculate suitably localized Hochschild homologies of various quantum groups and Podleś spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalen...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/214169 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Birational Equivalences and Generalized Weyl Algebras. Atabey Kaygun. SIGMA 21 (2025), 063, 15 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862713468654714880 |
|---|---|
| author | Kaygun, Atabey |
| author_facet | Kaygun, Atabey |
| citation_txt | Birational Equivalences and Generalized Weyl Algebras. Atabey Kaygun. SIGMA 21 (2025), 063, 15 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We calculate suitably localized Hochschild homologies of various quantum groups and Podleś spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalence problem and the birational smoothness problem for GWAs.
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| first_indexed | 2026-03-19T22:09:26Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214169 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T22:09:26Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kaygun, Atabey 2026-02-19T16:04:21Z 2025 Birational Equivalences and Generalized Weyl Algebras. Atabey Kaygun. SIGMA 21 (2025), 063, 15 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 16E40; 14E99 arXiv:2009.14801 https://nasplib.isofts.kiev.ua/handle/123456789/214169 https://doi.org/10.3842/SIGMA.2025.063 We calculate suitably localized Hochschild homologies of various quantum groups and Podleś spheres after realizing them as generalized Weyl algebras (GWAs). We use the fact that every GWA is birationally equivalent to a smash product with a 1-torus. We also address and solve the birational equivalence problem and the birational smoothness problem for GWAs. We would like to thank the anonymous referees for their careful reading of the paper and suggestions and corrections they provided, as it greatly improved the main arguments and presentation of the paper. This work was completed while the author was on academic leave at Queen’s University from Istanbul Technical University. The author is supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) sabbatical grant 2219. The author would like to thank both universities and TÜBİTAK for their support. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Birational Equivalences and Generalized Weyl Algebras Article published earlier |
| spellingShingle | Birational Equivalences and Generalized Weyl Algebras Kaygun, Atabey |
| title | Birational Equivalences and Generalized Weyl Algebras |
| title_full | Birational Equivalences and Generalized Weyl Algebras |
| title_fullStr | Birational Equivalences and Generalized Weyl Algebras |
| title_full_unstemmed | Birational Equivalences and Generalized Weyl Algebras |
| title_short | Birational Equivalences and Generalized Weyl Algebras |
| title_sort | birational equivalences and generalized weyl algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214169 |
| work_keys_str_mv | AT kaygunatabey birationalequivalencesandgeneralizedweylalgebras |