Exceptional hereditary curves and real curve orbifolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916499226099712 |
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| author | Burban, Igor |
| author_facet | Burban, Igor |
| contents | In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also give a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_06222 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exceptional hereditary curves and real curve orbifolds Burban, Igor Algebraic Geometry Representation Theory In this paper, we elaborate the theory of exceptional hereditary curves over arbitrary fields. In particular, we study the category of equivariant coherent sheaves on a regular projective curve whose quotient curve has genus zero and prove existence of a tilting object in this case. We also give a link between wallpaper groups and real hereditary curves, providing details to an old observation made by Helmut Lenzing. |
| title | Exceptional hereditary curves and real curve orbifolds |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2411.06222 |