Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866929286131220480 |
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| author | Di Lorenzo, Andrea Pirisi, Roberto |
| author_facet | Di Lorenzo, Andrea Pirisi, Roberto |
| contents | We introduce a theory of cohomological invariants with mod $p^r$ coefficients for algebraic stacks in characteristic $p$. Using these new tools we complete the computation of the Brauer group and cohomological invariants of the stack of elliptic curves over any field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08792 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic Di Lorenzo, Andrea Pirisi, Roberto Algebraic Geometry 14D23, 14F22, 14H10, 14F43 We introduce a theory of cohomological invariants with mod $p^r$ coefficients for algebraic stacks in characteristic $p$. Using these new tools we complete the computation of the Brauer group and cohomological invariants of the stack of elliptic curves over any field. |
| title | Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic |
| topic | Algebraic Geometry 14D23, 14F22, 14H10, 14F43 |
| url | https://arxiv.org/abs/2207.08792 |