Linkage of sheaves of modules
Algebraic Geometry
2025-07-02 v1 Commutative Algebra
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.
Cite
@article{arxiv.2507.00200,
title = {Linkage of sheaves of modules},
author = {Farhad Rahmati and Khadijeh Sayyari},
journal= {arXiv preprint arXiv:2507.00200},
year = {2025}
}