The special Brauer group and twisted Picard varieties
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916588090818560 |
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| author | Huybrechts, Daniel Mattei, Dominique |
| author_facet | Huybrechts, Daniel Mattei, Dominique |
| contents | We generalise the notion of the Tate-Shafarevich group of an elliptic K3 surface with a section to the Tate-Shafarevich group of a K3 surface endowed with a linear system. The construction, which uses Grothendieck's special Brauer group, provides an efficient way to deal with moduli spaces of twisted sheaves supported on curves in a K3 surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_04032 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The special Brauer group and twisted Picard varieties Huybrechts, Daniel Mattei, Dominique Algebraic Geometry We generalise the notion of the Tate-Shafarevich group of an elliptic K3 surface with a section to the Tate-Shafarevich group of a K3 surface endowed with a linear system. The construction, which uses Grothendieck's special Brauer group, provides an efficient way to deal with moduli spaces of twisted sheaves supported on curves in a K3 surface. |
| title | The special Brauer group and twisted Picard varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2310.04032 |