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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.18061 |
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| _version_ | 1866910663495909376 |
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| author | Bhaduri, Anirban Goldberg, Isaac Robotis, Antonios-Alexandros |
| author_facet | Bhaduri, Anirban Goldberg, Isaac Robotis, Antonios-Alexandros |
| contents | We compute several types of dimension for the bounded derived categories of coherent sheaves of orbifold curves. This completes the calculation of these dimensions for derived categories of noncommutative curves in the sense of Reiten-van den Bergh. Along the way we construct stability conditions for orbifold curves. We also obtain a characterisation of orbifold curves with hereditary tilting bundle in terms of diagonal dimension. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18061 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dimension theory of noncommutative curves Bhaduri, Anirban Goldberg, Isaac Robotis, Antonios-Alexandros Algebraic Geometry 14F08, 18G80 We compute several types of dimension for the bounded derived categories of coherent sheaves of orbifold curves. This completes the calculation of these dimensions for derived categories of noncommutative curves in the sense of Reiten-van den Bergh. Along the way we construct stability conditions for orbifold curves. We also obtain a characterisation of orbifold curves with hereditary tilting bundle in terms of diagonal dimension. |
| title | Dimension theory of noncommutative curves |
| topic | Algebraic Geometry 14F08, 18G80 |
| url | https://arxiv.org/abs/2410.18061 |