Bondal-Orlov's reconstruction theorem in noncommutative projective geometry
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917850813300736 |
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| author | Mizuno, Yuki |
| author_facet | Mizuno, Yuki |
| contents | We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of noncommutative projective schemes are of Fourier-Mukai type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07813 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bondal-Orlov's reconstruction theorem in noncommutative projective geometry Mizuno, Yuki Algebraic Geometry Category Theory Rings and Algebras 14A22, 14F08 We show that Bondal-Orlov's reconstruction theorem holds in noncommutative projective geometry. We also prove that fully faithful exact functors between derived categories of noncommutative projective schemes are of Fourier-Mukai type. |
| title | Bondal-Orlov's reconstruction theorem in noncommutative projective geometry |
| topic | Algebraic Geometry Category Theory Rings and Algebras 14A22, 14F08 |
| url | https://arxiv.org/abs/2411.07813 |