Brauer groups of tame stacky curves and their $μ_r$-gerbes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909703042236416 |
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| author | Bishop, Martin |
| author_facet | Bishop, Martin |
| contents | We fit the Brauer group of a $μ_r$-gerbe over a (possibly arbitrarily singular) stacky curve into an exact sequence and give characterizations for when it is short exact and conditions for when it splits. We also give a precise formula for the Brauer group of a $μ_r$-gerbe in the case that the base curve is smooth. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08780 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Brauer groups of tame stacky curves and their $μ_r$-gerbes Bishop, Martin Algebraic Geometry We fit the Brauer group of a $μ_r$-gerbe over a (possibly arbitrarily singular) stacky curve into an exact sequence and give characterizations for when it is short exact and conditions for when it splits. We also give a precise formula for the Brauer group of a $μ_r$-gerbe in the case that the base curve is smooth. |
| title | Brauer groups of tame stacky curves and their $μ_r$-gerbes |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2507.08780 |