Linkage of sheaves of modules
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915366531235840 |
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| author | Rahmati, Farhad Sayyari, Khadijeh |
| author_facet | Rahmati, Farhad Sayyari, Khadijeh |
| contents | Inspired by the works in linkage theory of modules, we define the concept of linkage of sheaves of modules as a generalization of linkage of modules. Thus, we expressed it in geometry algebraic language. We show that the linkedness of sheaves is a locally property. As an important result, we have shown that the sheaf of modules made of Glueing schemes and Glueing linked sheaves of modules is a linked sheaf. Also, it has been shown that for every sheaf of modules on non-domain, it is possible to obtain a maximal linked subsheaf of modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_00200 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linkage of sheaves of modules Rahmati, Farhad Sayyari, Khadijeh Algebraic Geometry Commutative Algebra Inspired by the works in linkage theory of modules, we define the concept of linkage of sheaves of modules as a generalization of linkage of modules. Thus, we expressed it in geometry algebraic language. We show that the linkedness of sheaves is a locally property. As an important result, we have shown that the sheaf of modules made of Glueing schemes and Glueing linked sheaves of modules is a linked sheaf. Also, it has been shown that for every sheaf of modules on non-domain, it is possible to obtain a maximal linked subsheaf of modules. |
| title | Linkage of sheaves of modules |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2507.00200 |