Gentle m-Calabi-Yau tilted algebras
We prove that all gentle 2-Calabi–Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the m-cluster-tilted algebras of type A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M....
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188552 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862746974222024704 |
|---|---|
| author | Garcia Elsener, A. |
| author_facet | Garcia Elsener, A. |
| citation_txt | Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We prove that all gentle 2-Calabi–Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the m-cluster-tilted algebras of type A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M.
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| first_indexed | 2025-12-07T20:48:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188552 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T20:48:25Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Garcia Elsener, A. 2023-03-05T17:22:34Z 2023-03-05T17:22:34Z 2020 Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. 1726-3255 DOI:10.12958/adm1423 https://nasplib.isofts.kiev.ua/handle/123456789/188552 We prove that all gentle 2-Calabi–Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the m-cluster-tilted algebras of type A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M. Supported by CONICET and PICT 2013-0799 ANPCyT (Argentina) and P 30549 FWF 2017-2020 (Austria). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Gentle m-Calabi-Yau tilted algebras Article published earlier |
| spellingShingle | Gentle m-Calabi-Yau tilted algebras Garcia Elsener, A. |
| title | Gentle m-Calabi-Yau tilted algebras |
| title_full | Gentle m-Calabi-Yau tilted algebras |
| title_fullStr | Gentle m-Calabi-Yau tilted algebras |
| title_full_unstemmed | Gentle m-Calabi-Yau tilted algebras |
| title_short | Gentle m-Calabi-Yau tilted algebras |
| title_sort | gentle m-calabi-yau tilted algebras |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188552 |
| work_keys_str_mv | AT garciaelsenera gentlemcalabiyautiltedalgebras |