Orlov's theorem over a quasiexcellent ring
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909520986374144 |
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| author | Peng, Fei |
| author_facet | Peng, Fei |
| contents | Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov's representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces over a quasiexcellent ring of finite Krull dimension. This generalizes a previous result of Canonaco-Stellari for smooth projective varieties over a field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_01083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Orlov's theorem over a quasiexcellent ring Peng, Fei Algebraic Geometry 14F06, 14F08 (Primary) 14A20 (Secondary) Following the approach of Kawamata and Canonaco-Stellari, we establish Orlov's representability theorem for smooth tame Deligne-Mumford stacks with projective coarse moduli spaces over a quasiexcellent ring of finite Krull dimension. This generalizes a previous result of Canonaco-Stellari for smooth projective varieties over a field. |
| title | Orlov's theorem over a quasiexcellent ring |
| topic | Algebraic Geometry 14F06, 14F08 (Primary) 14A20 (Secondary) |
| url | https://arxiv.org/abs/2503.01083 |