Equivalences of derived categories of sheaves on tame stacks
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911894143500288 |
|---|---|
| author | Peng, Fei |
| author_facet | Peng, Fei |
| contents | Building on Olander's work on algebraic spaces, we prove Orlov's representability theorem relating fully faithful functors and Fourier--Mukai transforms between the bounded derived category of coherent sheaves to the case of smooth, proper, and tame algebraic stacks. This extends previous results of Kawamata for Deligne--Mumford stacks with generically trivial stabilizers and projective coarse moduli spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_19676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equivalences of derived categories of sheaves on tame stacks Peng, Fei Algebraic Geometry Primary 14F06, 14F08, Secondary 14A20 Building on Olander's work on algebraic spaces, we prove Orlov's representability theorem relating fully faithful functors and Fourier--Mukai transforms between the bounded derived category of coherent sheaves to the case of smooth, proper, and tame algebraic stacks. This extends previous results of Kawamata for Deligne--Mumford stacks with generically trivial stabilizers and projective coarse moduli spaces. |
| title | Equivalences of derived categories of sheaves on tame stacks |
| topic | Algebraic Geometry Primary 14F06, 14F08, Secondary 14A20 |
| url | https://arxiv.org/abs/2405.19676 |