Malle's conjecture and Brauer groups of stacks
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916808230961152 |
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| author | Loughran, Daniel Santens, Tim |
| author_facet | Loughran, Daniel Santens, Tim |
| contents | We put forward a conjecture for the leading constant in Malle's conjecture on number fields of bounded discriminant, guided by stacky versions of conjectures of Batyrev-Manin, Batyrev-Tschinkel, and Peyre on rational points of bounded height on Fano varieties. A new framework for Brauer groups of stacks plays a key role in our conjecture, and we define a new notion of the unramified Brauer group of an algebraic stack. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04196 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Malle's conjecture and Brauer groups of stacks Loughran, Daniel Santens, Tim Number Theory Algebraic Geometry 14G05, 14D23, 14F22 We put forward a conjecture for the leading constant in Malle's conjecture on number fields of bounded discriminant, guided by stacky versions of conjectures of Batyrev-Manin, Batyrev-Tschinkel, and Peyre on rational points of bounded height on Fano varieties. A new framework for Brauer groups of stacks plays a key role in our conjecture, and we define a new notion of the unramified Brauer group of an algebraic stack. |
| title | Malle's conjecture and Brauer groups of stacks |
| topic | Number Theory Algebraic Geometry 14G05, 14D23, 14F22 |
| url | https://arxiv.org/abs/2412.04196 |