Morita theory of twisted sheaves on $μ_{n}$-gerbes of line bundles
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912503400759296 |
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| author | Liu, Yeqin Shen, Yu |
| author_facet | Liu, Yeqin Shen, Yu |
| contents | We study Morita theory of twisted sheaves on $μ_{n}$-gerbes of line bundles $\mathscr{X}$. In this context, we find explicit equivalent conditions for when two Azumaya algebras on $\mathscr{X}$ are Morita equivalent. Additionally, we provide an example showing that Căldăraru's Conjecture does not hold for Deligne--Mumford stacks in general. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_20317 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Morita theory of twisted sheaves on $μ_{n}$-gerbes of line bundles Liu, Yeqin Shen, Yu Algebraic Geometry Number Theory 14F22 We study Morita theory of twisted sheaves on $μ_{n}$-gerbes of line bundles $\mathscr{X}$. In this context, we find explicit equivalent conditions for when two Azumaya algebras on $\mathscr{X}$ are Morita equivalent. Additionally, we provide an example showing that Căldăraru's Conjecture does not hold for Deligne--Mumford stacks in general. |
| title | Morita theory of twisted sheaves on $μ_{n}$-gerbes of line bundles |
| topic | Algebraic Geometry Number Theory 14F22 |
| url | https://arxiv.org/abs/2409.20317 |