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arXiv · 2507.00200

Linkage of sheaves of modules

Farhad Rahmati·Khadijeh Sayyari
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Abstract

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.

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Farhad Rahmati, Khadijeh Sayyari. 2025-06-30. Linkage of sheaves of modules. https://arxiv.org/abs/2507.00200

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