Spherical and Semibrick Classifications
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866915754340777984 |
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| author | Hara, Wahei Wemyss, Michael |
| author_facet | Hara, Wahei Wemyss, Michael |
| contents | This article provides an overview of the techniques related to classification of spherical and more general objects within triangulated categories, and its relationship with algebraic geometry, representation theory and symplectic geometry. The primary focus are the techniques of the authors within the 'finite' algebraic geometry setting in dimensions two and three, and within silting discrete algebras, but other approaches including to more general settings by Bapat-Deopurkar-Licata, Smith-Wemyss, Ishii-Uehara, Keating-Smith and Shimpi are also surveyed, in varying levels of detail. Various explicit examples are provided. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_02009 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spherical and Semibrick Classifications Hara, Wahei Wemyss, Michael Algebraic Geometry Representation Theory This article provides an overview of the techniques related to classification of spherical and more general objects within triangulated categories, and its relationship with algebraic geometry, representation theory and symplectic geometry. The primary focus are the techniques of the authors within the 'finite' algebraic geometry setting in dimensions two and three, and within silting discrete algebras, but other approaches including to more general settings by Bapat-Deopurkar-Licata, Smith-Wemyss, Ishii-Uehara, Keating-Smith and Shimpi are also surveyed, in varying levels of detail. Various explicit examples are provided. |
| title | Spherical and Semibrick Classifications |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2509.02009 |