Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866918152644853760 |
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| author | Lazda, Christopher D. Skorobogatov, Alexei N. |
| author_facet | Lazda, Christopher D. Skorobogatov, Alexei N. |
| contents | We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which case it is annihilated by p. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07989 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces Lazda, Christopher D. Skorobogatov, Alexei N. Algebraic Geometry 14J28, 14F22 We prove that the transcendental Brauer group of a K3 surface X over a finitely generated field k is finite, unless k has positive characteristic p and X is supersingular, in which case it is annihilated by p. |
| title | Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces |
| topic | Algebraic Geometry 14J28, 14F22 |
| url | https://arxiv.org/abs/2407.07989 |