Differential forms and Brauer classes in positive characteristic
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918201779027968 |
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| author | Valloni, Domenico |
| author_facet | Valloni, Domenico |
| contents | We study $p$-torsion Brauer classes in positive characteristic arising from differential forms. We relate this construction to the Brauer group of supersingular K3 surfaces and analyze the contribution of these classes to the Brauer-Manin obstruction. As an application, we examine the Brauer-Manin set of supersingular K3 surfaces and of varieties admitting many differential forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Differential forms and Brauer classes in positive characteristic Valloni, Domenico Number Theory Algebraic Geometry We study $p$-torsion Brauer classes in positive characteristic arising from differential forms. We relate this construction to the Brauer group of supersingular K3 surfaces and analyze the contribution of these classes to the Brauer-Manin obstruction. As an application, we examine the Brauer-Manin set of supersingular K3 surfaces and of varieties admitting many differential forms. |
| title | Differential forms and Brauer classes in positive characteristic |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2412.01785 |