Orlov's functors in Macaulay2
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908909734723584 |
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| author | Brown, Michael K. Dey, Souvik Fatin, Geoffrey Li, Guanyu Sayrafi, Mahrud Tribone, Tim |
| author_facet | Brown, Michael K. Dey, Souvik Fatin, Geoffrey Li, Guanyu Sayrafi, Mahrud Tribone, Tim |
| contents | Given a commutative and graded Gorenstein ring $R$ with associated projective variety $X$, a theorem of Orlov gives fully faithful embeddings from the graded singularity category of $R$ to the derived category of $X$, or vice versa, depending on the degree of the canonical bundle of $X$. We describe algorithms for computing these embeddings that can be implemented in Macaulay2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_23176 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Orlov's functors in Macaulay2 Brown, Michael K. Dey, Souvik Fatin, Geoffrey Li, Guanyu Sayrafi, Mahrud Tribone, Tim Commutative Algebra Algebraic Geometry 13D03, 14F08 Given a commutative and graded Gorenstein ring $R$ with associated projective variety $X$, a theorem of Orlov gives fully faithful embeddings from the graded singularity category of $R$ to the derived category of $X$, or vice versa, depending on the degree of the canonical bundle of $X$. We describe algorithms for computing these embeddings that can be implemented in Macaulay2. |
| title | Orlov's functors in Macaulay2 |
| topic | Commutative Algebra Algebraic Geometry 13D03, 14F08 |
| url | https://arxiv.org/abs/2603.23176 |